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Simplifying 40 + 8m = -7(-6m + -2) + -8 Reorder the terms: 40 + 8m = -7(-2 + -6m) + -8 40 + 8m = (-2 * -7 + -6m * -7) + -8 40 + 8m = (14 + 42m) + -8 Reorder the terms: 40 + 8m = 14 + -8 + 42m Combine like terms: 14 + -8 = 6 40 + 8m = 6 + 42m Solving 40 + 8m = 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. 40 + 8m + -42m = 6 + 42m + -42m Combine like terms: 8m + -42m = -34m 40 + -34m = 6 + 42m + -42m Combine like terms: 42m + -42m = 0 40 + -34m = 6 + 0 40 + -34m = 6 Add '-40' to each side of the equation. 40 + -40 + -34m = 6 + -40 Combine like terms: 40 + -40 = 0 0 + -34m = 6 + -40 -34m = 6 + -40 Combine like terms: 6 + -40 = -34 -34m = -34 Divide each side by '-34'. m = 1 Simplifying m = 1
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