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Simplifying -42 + 8m = 4m + 66 Reorder the terms: -42 + 8m = 66 + 4m Solving -42 + 8m = 66 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -42 + 8m + -4m = 66 + 4m + -4m Combine like terms: 8m + -4m = 4m -42 + 4m = 66 + 4m + -4m Combine like terms: 4m + -4m = 0 -42 + 4m = 66 + 0 -42 + 4m = 66 Add '42' to each side of the equation. -42 + 42 + 4m = 66 + 42 Combine like terms: -42 + 42 = 0 0 + 4m = 66 + 42 4m = 66 + 42 Combine like terms: 66 + 42 = 108 4m = 108 Divide each side by '4'. m = 27 Simplifying m = 27
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