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Simplifying -3(b + 4) + -4(3 + -6b) = 18 Reorder the terms: -3(4 + b) + -4(3 + -6b) = 18 (4 * -3 + b * -3) + -4(3 + -6b) = 18 (-12 + -3b) + -4(3 + -6b) = 18 -12 + -3b + (3 * -4 + -6b * -4) = 18 -12 + -3b + (-12 + 24b) = 18 Reorder the terms: -12 + -12 + -3b + 24b = 18 Combine like terms: -12 + -12 = -24 -24 + -3b + 24b = 18 Combine like terms: -3b + 24b = 21b -24 + 21b = 18 Solving -24 + 21b = 18 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 21b = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 21b = 18 + 24 21b = 18 + 24 Combine like terms: 18 + 24 = 42 21b = 42 Divide each side by '21'. b = 2 Simplifying b = 2
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