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Simplifying 7 + -3(b + 8) = 7b + -7(b + -4) Reorder the terms: 7 + -3(8 + b) = 7b + -7(b + -4) 7 + (8 * -3 + b * -3) = 7b + -7(b + -4) 7 + (-24 + -3b) = 7b + -7(b + -4) Combine like terms: 7 + -24 = -17 -17 + -3b = 7b + -7(b + -4) Reorder the terms: -17 + -3b = 7b + -7(-4 + b) -17 + -3b = 7b + (-4 * -7 + b * -7) -17 + -3b = 7b + (28 + -7b) Reorder the terms: -17 + -3b = 28 + 7b + -7b Combine like terms: 7b + -7b = 0 -17 + -3b = 28 + 0 -17 + -3b = 28 Solving -17 + -3b = 28 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -3b = 28 + 17 Combine like terms: -17 + 17 = 0 0 + -3b = 28 + 17 -3b = 28 + 17 Combine like terms: 28 + 17 = 45 -3b = 45 Divide each side by '-3'. b = -15 Simplifying b = -15
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