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Simplifying 8(m + 3) = -7(m + -2) Reorder the terms: 8(3 + m) = -7(m + -2) (3 * 8 + m * 8) = -7(m + -2) (24 + 8m) = -7(m + -2) Reorder the terms: 24 + 8m = -7(-2 + m) 24 + 8m = (-2 * -7 + m * -7) 24 + 8m = (14 + -7m) Solving 24 + 8m = 14 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 24 + 8m + 7m = 14 + -7m + 7m Combine like terms: 8m + 7m = 15m 24 + 15m = 14 + -7m + 7m Combine like terms: -7m + 7m = 0 24 + 15m = 14 + 0 24 + 15m = 14 Add '-24' to each side of the equation. 24 + -24 + 15m = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 15m = 14 + -24 15m = 14 + -24 Combine like terms: 14 + -24 = -10 15m = -10 Divide each side by '15'. m = -0.6666666667 Simplifying m = -0.6666666667
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