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Simplifying -12(b + 4) = 11b + -8(b + 6) Reorder the terms: -12(4 + b) = 11b + -8(b + 6) (4 * -12 + b * -12) = 11b + -8(b + 6) (-48 + -12b) = 11b + -8(b + 6) Reorder the terms: -48 + -12b = 11b + -8(6 + b) -48 + -12b = 11b + (6 * -8 + b * -8) -48 + -12b = 11b + (-48 + -8b) Reorder the terms: -48 + -12b = -48 + 11b + -8b Combine like terms: 11b + -8b = 3b -48 + -12b = -48 + 3b Add '48' to each side of the equation. -48 + 48 + -12b = -48 + 48 + 3b Combine like terms: -48 + 48 = 0 0 + -12b = -48 + 48 + 3b -12b = -48 + 48 + 3b Combine like terms: -48 + 48 = 0 -12b = 0 + 3b -12b = 3b Solving -12b = 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -12b + -3b = 3b + -3b Combine like terms: -12b + -3b = -15b -15b = 3b + -3b Combine like terms: 3b + -3b = 0 -15b = 0 Divide each side by '-15'. b = 0 Simplifying b = 0
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