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Simplifying 2m + -10 = 4 + -2(m + -5) + -12 Reorder the terms: -10 + 2m = 4 + -2(m + -5) + -12 Reorder the terms: -10 + 2m = 4 + -2(-5 + m) + -12 -10 + 2m = 4 + (-5 * -2 + m * -2) + -12 -10 + 2m = 4 + (10 + -2m) + -12 Reorder the terms: -10 + 2m = 4 + 10 + -12 + -2m Combine like terms: 4 + 10 = 14 -10 + 2m = 14 + -12 + -2m Combine like terms: 14 + -12 = 2 -10 + 2m = 2 + -2m Solving -10 + 2m = 2 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -10 + 2m + 2m = 2 + -2m + 2m Combine like terms: 2m + 2m = 4m -10 + 4m = 2 + -2m + 2m Combine like terms: -2m + 2m = 0 -10 + 4m = 2 + 0 -10 + 4m = 2 Add '10' to each side of the equation. -10 + 10 + 4m = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 4m = 2 + 10 4m = 2 + 10 Combine like terms: 2 + 10 = 12 4m = 12 Divide each side by '4'. m = 3 Simplifying m = 3
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