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Simplifying 6m + 10 = 4(m + -6) + 7 Reorder the terms: 10 + 6m = 4(m + -6) + 7 Reorder the terms: 10 + 6m = 4(-6 + m) + 7 10 + 6m = (-6 * 4 + m * 4) + 7 10 + 6m = (-24 + 4m) + 7 Reorder the terms: 10 + 6m = -24 + 7 + 4m Combine like terms: -24 + 7 = -17 10 + 6m = -17 + 4m Solving 10 + 6m = -17 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 10 + 6m + -4m = -17 + 4m + -4m Combine like terms: 6m + -4m = 2m 10 + 2m = -17 + 4m + -4m Combine like terms: 4m + -4m = 0 10 + 2m = -17 + 0 10 + 2m = -17 Add '-10' to each side of the equation. 10 + -10 + 2m = -17 + -10 Combine like terms: 10 + -10 = 0 0 + 2m = -17 + -10 2m = -17 + -10 Combine like terms: -17 + -10 = -27 2m = -27 Divide each side by '2'. m = -13.5 Simplifying m = -13.5
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