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Simplifying -7(m + -3) = 45 + -1m Reorder the terms: -7(-3 + m) = 45 + -1m (-3 * -7 + m * -7) = 45 + -1m (21 + -7m) = 45 + -1m Solving 21 + -7m = 45 + -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. 21 + -7m + m = 45 + -1m + m Combine like terms: -7m + m = -6m 21 + -6m = 45 + -1m + m Combine like terms: -1m + m = 0 21 + -6m = 45 + 0 21 + -6m = 45 Add '-21' to each side of the equation. 21 + -21 + -6m = 45 + -21 Combine like terms: 21 + -21 = 0 0 + -6m = 45 + -21 -6m = 45 + -21 Combine like terms: 45 + -21 = 24 -6m = 24 Divide each side by '-6'. m = -4 Simplifying m = -4
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