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Simplifying 39 = -3(21 + -1b) + 3(b + -2) 39 = (21 * -3 + -1b * -3) + 3(b + -2) 39 = (-63 + 3b) + 3(b + -2) Reorder the terms: 39 = -63 + 3b + 3(-2 + b) 39 = -63 + 3b + (-2 * 3 + b * 3) 39 = -63 + 3b + (-6 + 3b) Reorder the terms: 39 = -63 + -6 + 3b + 3b Combine like terms: -63 + -6 = -69 39 = -69 + 3b + 3b Combine like terms: 3b + 3b = 6b 39 = -69 + 6b Solving 39 = -69 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 39 + -6b = -69 + 6b + -6b Combine like terms: 6b + -6b = 0 39 + -6b = -69 + 0 39 + -6b = -69 Add '-39' to each side of the equation. 39 + -39 + -6b = -69 + -39 Combine like terms: 39 + -39 = 0 0 + -6b = -69 + -39 -6b = -69 + -39 Combine like terms: -69 + -39 = -108 -6b = -108 Divide each side by '-6'. b = 18 Simplifying b = 18
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