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Simplifying 42 = 8m + 1 Reorder the terms: 42 = 1 + 8m Solving 42 = 1 + 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. 42 + -8m = 1 + 8m + -8m Combine like terms: 8m + -8m = 0 42 + -8m = 1 + 0 42 + -8m = 1 Add '-42' to each side of the equation. 42 + -42 + -8m = 1 + -42 Combine like terms: 42 + -42 = 0 0 + -8m = 1 + -42 -8m = 1 + -42 Combine like terms: 1 + -42 = -41 -8m = -41 Divide each side by '-8'. m = 5.125 Simplifying m = 5.125
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