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visit www.bigideasmathvideos.com to watch the flipped video instructio note: video instruction can be found under common core high school ge try this video for extra example 1 – justifying steps solve the equation. justify each step. 1) 4m + 11 = 6m − 1 explain 2 using the distributive prope visit bim.easyaccessmaterials.com, navigate to common core high schoo read the section below. teacher voice – the distributive property is yet another property that can be used to simplify algebraic expressions. distributive property let a, b, and c be real numbers. sum a(b + c) = ab + ac example 2 – using the distributive property justify each step.
Step1: Subtract $4m$ from both sides
$4m + 11 - 4m = 6m - 1 - 4m$
$11 = 2m - 1$
Step2: Add 1 to both sides
$11 + 1 = 2m - 1 + 1$
$12 = 2m$
Step3: Divide by 2 on both sides
$\frac{12}{2} = \frac{2m}{2}$
$6 = m$
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$m=6$