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Simplifying 5m + 3(m + -6) = 10m + 2 Reorder the terms: 5m + 3(-6 + m) = 10m + 2 5m + (-6 * 3 + m * 3) = 10m + 2 5m + (-18 + 3m) = 10m + 2 Reorder the terms: -18 + 5m + 3m = 10m + 2 Combine like terms: 5m + 3m = 8m -18 + 8m = 10m + 2 Reorder the terms: -18 + 8m = 2 + 10m Solving -18 + 8m = 2 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -18 + 8m + -10m = 2 + 10m + -10m Combine like terms: 8m + -10m = -2m -18 + -2m = 2 + 10m + -10m Combine like terms: 10m + -10m = 0 -18 + -2m = 2 + 0 -18 + -2m = 2 Add '18' to each side of the equation. -18 + 18 + -2m = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -2m = 2 + 18 -2m = 2 + 18 Combine like terms: 2 + 18 = 20 -2m = 20 Divide each side by '-2'. m = -10 Simplifying m = -10
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