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Simplifying 4(b + -2) + -16 = 2(b + 3) Reorder the terms: 4(-2 + b) + -16 = 2(b + 3) (-2 * 4 + b * 4) + -16 = 2(b + 3) (-8 + 4b) + -16 = 2(b + 3) Reorder the terms: -8 + -16 + 4b = 2(b + 3) Combine like terms: -8 + -16 = -24 -24 + 4b = 2(b + 3) Reorder the terms: -24 + 4b = 2(3 + b) -24 + 4b = (3 * 2 + b * 2) -24 + 4b = (6 + 2b) Solving -24 + 4b = 6 + 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. -24 + 4b + -2b = 6 + 2b + -2b Combine like terms: 4b + -2b = 2b -24 + 2b = 6 + 2b + -2b Combine like terms: 2b + -2b = 0 -24 + 2b = 6 + 0 -24 + 2b = 6 Add '24' to each side of the equation. -24 + 24 + 2b = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 2b = 6 + 24 2b = 6 + 24 Combine like terms: 6 + 24 = 30 2b = 30 Divide each side by '2'. b = 15 Simplifying b = 15
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