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Simplifying 189 = 7(4 + 6m) + -7 189 = (4 * 7 + 6m * 7) + -7 189 = (28 + 42m) + -7 Reorder the terms: 189 = 28 + -7 + 42m Combine like terms: 28 + -7 = 21 189 = 21 + 42m Solving 189 = 21 + 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. 189 + -42m = 21 + 42m + -42m Combine like terms: 42m + -42m = 0 189 + -42m = 21 + 0 189 + -42m = 21 Add '-189' to each side of the equation. 189 + -189 + -42m = 21 + -189 Combine like terms: 189 + -189 = 0 0 + -42m = 21 + -189 -42m = 21 + -189 Combine like terms: 21 + -189 = -168 -42m = -168 Divide each side by '-42'. m = 4 Simplifying m = 4
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