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Simplifying -7(m + -3) = 2(4m + 3) Reorder the terms: -7(-3 + m) = 2(4m + 3) (-3 * -7 + m * -7) = 2(4m + 3) (21 + -7m) = 2(4m + 3) Reorder the terms: 21 + -7m = 2(3 + 4m) 21 + -7m = (3 * 2 + 4m * 2) 21 + -7m = (6 + 8m) Solving 21 + -7m = 6 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 21 + -7m + -8m = 6 + 8m + -8m Combine like terms: -7m + -8m = -15m 21 + -15m = 6 + 8m + -8m Combine like terms: 8m + -8m = 0 21 + -15m = 6 + 0 21 + -15m = 6 Add '-21' to each side of the equation. 21 + -21 + -15m = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -15m = 6 + -21 -15m = 6 + -21 Combine like terms: 6 + -21 = -15 -15m = -15 Divide each side by '-15'. m = 1 Simplifying m = 1
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