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Simplifying 5 + 2(b + 8) = 5(b + -3) Reorder the terms: 5 + 2(8 + b) = 5(b + -3) 5 + (8 * 2 + b * 2) = 5(b + -3) 5 + (16 + 2b) = 5(b + -3) Combine like terms: 5 + 16 = 21 21 + 2b = 5(b + -3) Reorder the terms: 21 + 2b = 5(-3 + b) 21 + 2b = (-3 * 5 + b * 5) 21 + 2b = (-15 + 5b) Solving 21 + 2b = -15 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 21 + 2b + -5b = -15 + 5b + -5b Combine like terms: 2b + -5b = -3b 21 + -3b = -15 + 5b + -5b Combine like terms: 5b + -5b = 0 21 + -3b = -15 + 0 21 + -3b = -15 Add '-21' to each side of the equation. 21 + -21 + -3b = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -3b = -15 + -21 -3b = -15 + -21 Combine like terms: -15 + -21 = -36 -3b = -36 Divide each side by '-3'. b = 12 Simplifying b = 12
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