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Simplifying 3(b + 7) + 3(b + -6) = 1 + 3b + -1 Reorder the terms: 3(7 + b) + 3(b + -6) = 1 + 3b + -1 (7 * 3 + b * 3) + 3(b + -6) = 1 + 3b + -1 (21 + 3b) + 3(b + -6) = 1 + 3b + -1 Reorder the terms: 21 + 3b + 3(-6 + b) = 1 + 3b + -1 21 + 3b + (-6 * 3 + b * 3) = 1 + 3b + -1 21 + 3b + (-18 + 3b) = 1 + 3b + -1 Reorder the terms: 21 + -18 + 3b + 3b = 1 + 3b + -1 Combine like terms: 21 + -18 = 3 3 + 3b + 3b = 1 + 3b + -1 Combine like terms: 3b + 3b = 6b 3 + 6b = 1 + 3b + -1 Reorder the terms: 3 + 6b = 1 + -1 + 3b Combine like terms: 1 + -1 = 0 3 + 6b = 0 + 3b 3 + 6b = 3b Solving 3 + 6b = 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 3 + 6b + -3b = 3b + -3b Combine like terms: 6b + -3b = 3b 3 + 3b = 3b + -3b Combine like terms: 3b + -3b = 0 3 + 3b = 0 Add '-3' to each side of the equation. 3 + -3 + 3b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3b = 0 + -3 3b = 0 + -3 Combine like terms: 0 + -3 = -3 3b = -3 Divide each side by '3'. b = -1 Simplifying b = -1
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