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Simplifying -2m + -38 = -2m + -2(4 + 3m) Reorder the terms: -38 + -2m = -2m + -2(4 + 3m) -38 + -2m = -2m + (4 * -2 + 3m * -2) -38 + -2m = -2m + (-8 + -6m) Reorder the terms: -38 + -2m = -8 + -2m + -6m Combine like terms: -2m + -6m = -8m -38 + -2m = -8 + -8m Solving -38 + -2m = -8 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -38 + -2m + 8m = -8 + -8m + 8m Combine like terms: -2m + 8m = 6m -38 + 6m = -8 + -8m + 8m Combine like terms: -8m + 8m = 0 -38 + 6m = -8 + 0 -38 + 6m = -8 Add '38' to each side of the equation. -38 + 38 + 6m = -8 + 38 Combine like terms: -38 + 38 = 0 0 + 6m = -8 + 38 6m = -8 + 38 Combine like terms: -8 + 38 = 30 6m = 30 Divide each side by '6'. m = 5 Simplifying m = 5
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