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Simplifying 2m + -5 = 1 + -3(2m + -12) Reorder the terms: -5 + 2m = 1 + -3(2m + -12) Reorder the terms: -5 + 2m = 1 + -3(-12 + 2m) -5 + 2m = 1 + (-12 * -3 + 2m * -3) -5 + 2m = 1 + (36 + -6m) Combine like terms: 1 + 36 = 37 -5 + 2m = 37 + -6m Solving -5 + 2m = 37 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -5 + 2m + 6m = 37 + -6m + 6m Combine like terms: 2m + 6m = 8m -5 + 8m = 37 + -6m + 6m Combine like terms: -6m + 6m = 0 -5 + 8m = 37 + 0 -5 + 8m = 37 Add '5' to each side of the equation. -5 + 5 + 8m = 37 + 5 Combine like terms: -5 + 5 = 0 0 + 8m = 37 + 5 8m = 37 + 5 Combine like terms: 37 + 5 = 42 8m = 42 Divide each side by '8'. m = 5.25 Simplifying m = 5.25
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