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Simplifying -6b + -6b = -5(3b + -6) + 6(b + 3) Combine like terms: -6b + -6b = -12b -12b = -5(3b + -6) + 6(b + 3) Reorder the terms: -12b = -5(-6 + 3b) + 6(b + 3) -12b = (-6 * -5 + 3b * -5) + 6(b + 3) -12b = (30 + -15b) + 6(b + 3) Reorder the terms: -12b = 30 + -15b + 6(3 + b) -12b = 30 + -15b + (3 * 6 + b * 6) -12b = 30 + -15b + (18 + 6b) Reorder the terms: -12b = 30 + 18 + -15b + 6b Combine like terms: 30 + 18 = 48 -12b = 48 + -15b + 6b Combine like terms: -15b + 6b = -9b -12b = 48 + -9b Solving -12b = 48 + -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. -12b + 9b = 48 + -9b + 9b Combine like terms: -12b + 9b = -3b -3b = 48 + -9b + 9b Combine like terms: -9b + 9b = 0 -3b = 48 + 0 -3b = 48 Divide each side by '-3'. b = -16 Simplifying b = -16
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