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Simplifying -1(3b + 15) = 6(2b + 15) Reorder the terms: -1(15 + 3b) = 6(2b + 15) (15 * -1 + 3b * -1) = 6(2b + 15) (-15 + -3b) = 6(2b + 15) Reorder the terms: -15 + -3b = 6(15 + 2b) -15 + -3b = (15 * 6 + 2b * 6) -15 + -3b = (90 + 12b) Solving -15 + -3b = 90 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -15 + -3b + -12b = 90 + 12b + -12b Combine like terms: -3b + -12b = -15b -15 + -15b = 90 + 12b + -12b Combine like terms: 12b + -12b = 0 -15 + -15b = 90 + 0 -15 + -15b = 90 Add '15' to each side of the equation. -15 + 15 + -15b = 90 + 15 Combine like terms: -15 + 15 = 0 0 + -15b = 90 + 15 -15b = 90 + 15 Combine like terms: 90 + 15 = 105 -15b = 105 Divide each side by '-15'. b = -7 Simplifying b = -7
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