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Simplifying 5(b + -3) + 12 = -2(b + -2) Reorder the terms: 5(-3 + b) + 12 = -2(b + -2) (-3 * 5 + b * 5) + 12 = -2(b + -2) (-15 + 5b) + 12 = -2(b + -2) Reorder the terms: -15 + 12 + 5b = -2(b + -2) Combine like terms: -15 + 12 = -3 -3 + 5b = -2(b + -2) Reorder the terms: -3 + 5b = -2(-2 + b) -3 + 5b = (-2 * -2 + b * -2) -3 + 5b = (4 + -2b) Solving -3 + 5b = 4 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -3 + 5b + 2b = 4 + -2b + 2b Combine like terms: 5b + 2b = 7b -3 + 7b = 4 + -2b + 2b Combine like terms: -2b + 2b = 0 -3 + 7b = 4 + 0 -3 + 7b = 4 Add '3' to each side of the equation. -3 + 3 + 7b = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 7b = 4 + 3 7b = 4 + 3 Combine like terms: 4 + 3 = 7 7b = 7 Divide each side by '7'. b = 1 Simplifying b = 1
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