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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 = 3b -3 + 3b = -4 + 2b + -2b Combine like terms: 2b + -2b = 0 -3 + 3b = -4 + 0 -3 + 3b = -4 Add '3' to each side of the equation. -3 + 3 + 3b = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 3b = -4 + 3 3b = -4 + 3 Combine like terms: -4 + 3 = -1 3b = -1 Divide each side by '3'. b = -0.3333333333 Simplifying b = -0.3333333333
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