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Simplifying -7(m + -8) = 38 + -1m Reorder the terms: -7(-8 + m) = 38 + -1m (-8 * -7 + m * -7) = 38 + -1m (56 + -7m) = 38 + -1m Solving 56 + -7m = 38 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 56 + -7m + m = 38 + -1m + m Combine like terms: -7m + m = -6m 56 + -6m = 38 + -1m + m Combine like terms: -1m + m = 0 56 + -6m = 38 + 0 56 + -6m = 38 Add '-56' to each side of the equation. 56 + -56 + -6m = 38 + -56 Combine like terms: 56 + -56 = 0 0 + -6m = 38 + -56 -6m = 38 + -56 Combine like terms: 38 + -56 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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