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Simplifying 3(b + -2) + -2(b + 5) = 95 + -1(b + 12) Reorder the terms: 3(-2 + b) + -2(b + 5) = 95 + -1(b + 12) (-2 * 3 + b * 3) + -2(b + 5) = 95 + -1(b + 12) (-6 + 3b) + -2(b + 5) = 95 + -1(b + 12) Reorder the terms: -6 + 3b + -2(5 + b) = 95 + -1(b + 12) -6 + 3b + (5 * -2 + b * -2) = 95 + -1(b + 12) -6 + 3b + (-10 + -2b) = 95 + -1(b + 12) Reorder the terms: -6 + -10 + 3b + -2b = 95 + -1(b + 12) Combine like terms: -6 + -10 = -16 -16 + 3b + -2b = 95 + -1(b + 12) Combine like terms: 3b + -2b = 1b -16 + 1b = 95 + -1(b + 12) Reorder the terms: -16 + 1b = 95 + -1(12 + b) -16 + 1b = 95 + (12 * -1 + b * -1) -16 + 1b = 95 + (-12 + -1b) Combine like terms: 95 + -12 = 83 -16 + 1b = 83 + -1b Solving -16 + 1b = 83 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -16 + 1b + b = 83 + -1b + b Combine like terms: 1b + b = 2b -16 + 2b = 83 + -1b + b Combine like terms: -1b + b = 0 -16 + 2b = 83 + 0 -16 + 2b = 83 Add '16' to each side of the equation. -16 + 16 + 2b = 83 + 16 Combine like terms: -16 + 16 = 0 0 + 2b = 83 + 16 2b = 83 + 16 Combine like terms: 83 + 16 = 99 2b = 99 Divide each side by '2'. b = 49.5 Simplifying b = 49.5
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