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Simplifying 5(m + 2) = m + 6(m + -3) Reorder the terms: 5(2 + m) = m + 6(m + -3) (2 * 5 + m * 5) = m + 6(m + -3) (10 + 5m) = m + 6(m + -3) Reorder the terms: 10 + 5m = m + 6(-3 + m) 10 + 5m = m + (-3 * 6 + m * 6) 10 + 5m = m + (-18 + 6m) Reorder the terms: 10 + 5m = -18 + m + 6m Combine like terms: m + 6m = 7m 10 + 5m = -18 + 7m Solving 10 + 5m = -18 + 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. 10 + 5m + -7m = -18 + 7m + -7m Combine like terms: 5m + -7m = -2m 10 + -2m = -18 + 7m + -7m Combine like terms: 7m + -7m = 0 10 + -2m = -18 + 0 10 + -2m = -18 Add '-10' to each side of the equation. 10 + -10 + -2m = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -2m = -18 + -10 -2m = -18 + -10 Combine like terms: -18 + -10 = -28 -2m = -28 Divide each side by '-2'. m = 14 Simplifying m = 14
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