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Simplifying m + 7 + m + 3 = 4(m + 3) + 4(6 + 2m) Reorder the terms: 7 + 3 + m + m = 4(m + 3) + 4(6 + 2m) Combine like terms: 7 + 3 = 10 10 + m + m = 4(m + 3) + 4(6 + 2m) Combine like terms: m + m = 2m 10 + 2m = 4(m + 3) + 4(6 + 2m) Reorder the terms: 10 + 2m = 4(3 + m) + 4(6 + 2m) 10 + 2m = (3 * 4 + m * 4) + 4(6 + 2m) 10 + 2m = (12 + 4m) + 4(6 + 2m) 10 + 2m = 12 + 4m + (6 * 4 + 2m * 4) 10 + 2m = 12 + 4m + (24 + 8m) Reorder the terms: 10 + 2m = 12 + 24 + 4m + 8m Combine like terms: 12 + 24 = 36 10 + 2m = 36 + 4m + 8m Combine like terms: 4m + 8m = 12m 10 + 2m = 36 + 12m Solving 10 + 2m = 36 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 10 + 2m + -12m = 36 + 12m + -12m Combine like terms: 2m + -12m = -10m 10 + -10m = 36 + 12m + -12m Combine like terms: 12m + -12m = 0 10 + -10m = 36 + 0 10 + -10m = 36 Add '-10' to each side of the equation. 10 + -10 + -10m = 36 + -10 Combine like terms: 10 + -10 = 0 0 + -10m = 36 + -10 -10m = 36 + -10 Combine like terms: 36 + -10 = 26 -10m = 26 Divide each side by '-10'. m = -2.6 Simplifying m = -2.6
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