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Simplifying 6(b + -3) + -3(2b + -1) = 2(b + -9) + -1 Reorder the terms: 6(-3 + b) + -3(2b + -1) = 2(b + -9) + -1 (-3 * 6 + b * 6) + -3(2b + -1) = 2(b + -9) + -1 (-18 + 6b) + -3(2b + -1) = 2(b + -9) + -1 Reorder the terms: -18 + 6b + -3(-1 + 2b) = 2(b + -9) + -1 -18 + 6b + (-1 * -3 + 2b * -3) = 2(b + -9) + -1 -18 + 6b + (3 + -6b) = 2(b + -9) + -1 Reorder the terms: -18 + 3 + 6b + -6b = 2(b + -9) + -1 Combine like terms: -18 + 3 = -15 -15 + 6b + -6b = 2(b + -9) + -1 Combine like terms: 6b + -6b = 0 -15 + 0 = 2(b + -9) + -1 -15 = 2(b + -9) + -1 Reorder the terms: -15 = 2(-9 + b) + -1 -15 = (-9 * 2 + b * 2) + -1 -15 = (-18 + 2b) + -1 Reorder the terms: -15 = -18 + -1 + 2b Combine like terms: -18 + -1 = -19 -15 = -19 + 2b Solving -15 = -19 + 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. -15 + -2b = -19 + 2b + -2b Combine like terms: 2b + -2b = 0 -15 + -2b = -19 + 0 -15 + -2b = -19 Add '15' to each side of the equation. -15 + 15 + -2b = -19 + 15 Combine like terms: -15 + 15 = 0 0 + -2b = -19 + 15 -2b = -19 + 15 Combine like terms: -19 + 15 = -4 -2b = -4 Divide each side by '-2'. b = 2 Simplifying b = 2
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