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Simplifying 7(3m + -6) = -3(m + 6) Reorder the terms: 7(-6 + 3m) = -3(m + 6) (-6 * 7 + 3m * 7) = -3(m + 6) (-42 + 21m) = -3(m + 6) Reorder the terms: -42 + 21m = -3(6 + m) -42 + 21m = (6 * -3 + m * -3) -42 + 21m = (-18 + -3m) Solving -42 + 21m = -18 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -42 + 21m + 3m = -18 + -3m + 3m Combine like terms: 21m + 3m = 24m -42 + 24m = -18 + -3m + 3m Combine like terms: -3m + 3m = 0 -42 + 24m = -18 + 0 -42 + 24m = -18 Add '42' to each side of the equation. -42 + 42 + 24m = -18 + 42 Combine like terms: -42 + 42 = 0 0 + 24m = -18 + 42 24m = -18 + 42 Combine like terms: -18 + 42 = 24 24m = 24 Divide each side by '24'. m = 1 Simplifying m = 1
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