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Simplifying 2(3m + -2) + 10 = (m + -4) + -3 Reorder the terms: 2(-2 + 3m) + 10 = (m + -4) + -3 (-2 * 2 + 3m * 2) + 10 = (m + -4) + -3 (-4 + 6m) + 10 = (m + -4) + -3 Reorder the terms: -4 + 10 + 6m = (m + -4) + -3 Combine like terms: -4 + 10 = 6 6 + 6m = (m + -4) + -3 Reorder the terms: 6 + 6m = (-4 + m) + -3 Remove parenthesis around (-4 + m) 6 + 6m = -4 + m + -3 Reorder the terms: 6 + 6m = -4 + -3 + m Combine like terms: -4 + -3 = -7 6 + 6m = -7 + m Solving 6 + 6m = -7 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 6 + 6m + -1m = -7 + m + -1m Combine like terms: 6m + -1m = 5m 6 + 5m = -7 + m + -1m Combine like terms: m + -1m = 0 6 + 5m = -7 + 0 6 + 5m = -7 Add '-6' to each side of the equation. 6 + -6 + 5m = -7 + -6 Combine like terms: 6 + -6 = 0 0 + 5m = -7 + -6 5m = -7 + -6 Combine like terms: -7 + -6 = -13 5m = -13 Divide each side by '5'. m = -2.6 Simplifying m = -2.6
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