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Simplifying 6(2b + -3) + -2(4b + -6) = -18 Reorder the terms: 6(-3 + 2b) + -2(4b + -6) = -18 (-3 * 6 + 2b * 6) + -2(4b + -6) = -18 (-18 + 12b) + -2(4b + -6) = -18 Reorder the terms: -18 + 12b + -2(-6 + 4b) = -18 -18 + 12b + (-6 * -2 + 4b * -2) = -18 -18 + 12b + (12 + -8b) = -18 Reorder the terms: -18 + 12 + 12b + -8b = -18 Combine like terms: -18 + 12 = -6 -6 + 12b + -8b = -18 Combine like terms: 12b + -8b = 4b -6 + 4b = -18 Solving -6 + 4b = -18 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4b = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 4b = -18 + 6 4b = -18 + 6 Combine like terms: -18 + 6 = -12 4b = -12 Divide each side by '4'. b = -3 Simplifying b = -3
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