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Simplifying 3(b + -6) = -2(b + 1) + 6b Reorder the terms: 3(-6 + b) = -2(b + 1) + 6b (-6 * 3 + b * 3) = -2(b + 1) + 6b (-18 + 3b) = -2(b + 1) + 6b Reorder the terms: -18 + 3b = -2(1 + b) + 6b -18 + 3b = (1 * -2 + b * -2) + 6b -18 + 3b = (-2 + -2b) + 6b Combine like terms: -2b + 6b = 4b -18 + 3b = -2 + 4b Solving -18 + 3b = -2 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -18 + 3b + -4b = -2 + 4b + -4b Combine like terms: 3b + -4b = -1b -18 + -1b = -2 + 4b + -4b Combine like terms: 4b + -4b = 0 -18 + -1b = -2 + 0 -18 + -1b = -2 Add '18' to each side of the equation. -18 + 18 + -1b = -2 + 18 Combine like terms: -18 + 18 = 0 0 + -1b = -2 + 18 -1b = -2 + 18 Combine like terms: -2 + 18 = 16 -1b = 16 Divide each side by '-1'. b = -16 Simplifying b = -16
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