Question

solve for c.
0.5 + 3(5c - 0.7) = 13c
c =

Explanation:

Step1: Expand the bracket

First, we use the distributive property \(a(b + c)=ab+ac\) to expand \(3(5c - 0.7)\). So we get \(3\times5c-3\times0.7 = 15c-2.1\). The equation becomes \(0.5 + 15c-2.1=13c\).

Step2: Combine like terms

Combine the constant terms \(0.5\) and \(- 2.1\). \(0.5-2.1=-1.6\). The equation is now \(15c - 1.6=13c\).

Step3: Isolate the variable \(c\)

Subtract \(13c\) from both sides: \(15c-13c - 1.6=13c - 13c\), which simplifies to \(2c-1.6 = 0\). Then add \(1.6\) to both sides: \(2c-1.6 + 1.6=0 + 1.6\), so \(2c=1.6\).

Step4: Solve for \(c\)

Divide both sides by \(2\): \(c=\frac{1.6}{2}=0.8\).

Answer:

\(0.8\)