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Simplifying -172 = 4(-3 + -7b) + 8 -172 = (-3 * 4 + -7b * 4) + 8 -172 = (-12 + -28b) + 8 Reorder the terms: -172 = -12 + 8 + -28b Combine like terms: -12 + 8 = -4 -172 = -4 + -28b Solving -172 = -4 + -28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '28b' to each side of the equation. -172 + 28b = -4 + -28b + 28b Combine like terms: -28b + 28b = 0 -172 + 28b = -4 + 0 -172 + 28b = -4 Add '172' to each side of the equation. -172 + 172 + 28b = -4 + 172 Combine like terms: -172 + 172 = 0 0 + 28b = -4 + 172 28b = -4 + 172 Combine like terms: -4 + 172 = 168 28b = 168 Divide each side by '28'. b = 6 Simplifying b = 6
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