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Simplifying m(6 + 2) = (42 + 7) + m Combine like terms: 6 + 2 = 8 m(8) = (42 + 7) + m Reorder the terms for easier multiplication: 8m = (42 + 7) + m Combine like terms: 42 + 7 = 49 8m = (49) + m 8m = 49 + m Solving 8m = 49 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 8m + -1m = 49 + m + -1m Combine like terms: 8m + -1m = 7m 7m = 49 + m + -1m Combine like terms: m + -1m = 0 7m = 49 + 0 7m = 49 Divide each side by '7'. m = 7 Simplifying m = 7
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