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Simplifying 40 + -7m = 6(-4m + -5) + 3m Reorder the terms: 40 + -7m = 6(-5 + -4m) + 3m 40 + -7m = (-5 * 6 + -4m * 6) + 3m 40 + -7m = (-30 + -24m) + 3m Combine like terms: -24m + 3m = -21m 40 + -7m = -30 + -21m Solving 40 + -7m = -30 + -21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21m' to each side of the equation. 40 + -7m + 21m = -30 + -21m + 21m Combine like terms: -7m + 21m = 14m 40 + 14m = -30 + -21m + 21m Combine like terms: -21m + 21m = 0 40 + 14m = -30 + 0 40 + 14m = -30 Add '-40' to each side of the equation. 40 + -40 + 14m = -30 + -40 Combine like terms: 40 + -40 = 0 0 + 14m = -30 + -40 14m = -30 + -40 Combine like terms: -30 + -40 = -70 14m = -70 Divide each side by '14'. m = -5 Simplifying m = -5
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