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Simplifying -6m + 48 = 2m + -8 Reorder the terms: 48 + -6m = 2m + -8 Reorder the terms: 48 + -6m = -8 + 2m Solving 48 + -6m = -8 + 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. 48 + -6m + -2m = -8 + 2m + -2m Combine like terms: -6m + -2m = -8m 48 + -8m = -8 + 2m + -2m Combine like terms: 2m + -2m = 0 48 + -8m = -8 + 0 48 + -8m = -8 Add '-48' to each side of the equation. 48 + -48 + -8m = -8 + -48 Combine like terms: 48 + -48 = 0 0 + -8m = -8 + -48 -8m = -8 + -48 Combine like terms: -8 + -48 = -56 -8m = -56 Divide each side by '-8'. m = 7 Simplifying m = 7
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