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Simplifying 258 = 6(1 + 7m) 258 = (1 * 6 + 7m * 6) 258 = (6 + 42m) Solving 258 = 6 + 42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42m' to each side of the equation. 258 + -42m = 6 + 42m + -42m Combine like terms: 42m + -42m = 0 258 + -42m = 6 + 0 258 + -42m = 6 Add '-258' to each side of the equation. 258 + -258 + -42m = 6 + -258 Combine like terms: 258 + -258 = 0 0 + -42m = 6 + -258 -42m = 6 + -258 Combine like terms: 6 + -258 = -252 -42m = -252 Divide each side by '-42'. m = 6 Simplifying m = 6
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