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Simplifying 16 + -1(3b + 9) = 4(2b + -12) Reorder the terms: 16 + -1(9 + 3b) = 4(2b + -12) 16 + (9 * -1 + 3b * -1) = 4(2b + -12) 16 + (-9 + -3b) = 4(2b + -12) Combine like terms: 16 + -9 = 7 7 + -3b = 4(2b + -12) Reorder the terms: 7 + -3b = 4(-12 + 2b) 7 + -3b = (-12 * 4 + 2b * 4) 7 + -3b = (-48 + 8b) Solving 7 + -3b = -48 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 7 + -3b + -8b = -48 + 8b + -8b Combine like terms: -3b + -8b = -11b 7 + -11b = -48 + 8b + -8b Combine like terms: 8b + -8b = 0 7 + -11b = -48 + 0 7 + -11b = -48 Add '-7' to each side of the equation. 7 + -7 + -11b = -48 + -7 Combine like terms: 7 + -7 = 0 0 + -11b = -48 + -7 -11b = -48 + -7 Combine like terms: -48 + -7 = -55 -11b = -55 Divide each side by '-11'. b = 5 Simplifying b = 5
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