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Simplifying 14m + 19 = -20 + -3(-7m + 15) Reorder the terms: 19 + 14m = -20 + -3(-7m + 15) Reorder the terms: 19 + 14m = -20 + -3(15 + -7m) 19 + 14m = -20 + (15 * -3 + -7m * -3) 19 + 14m = -20 + (-45 + 21m) Combine like terms: -20 + -45 = -65 19 + 14m = -65 + 21m Solving 19 + 14m = -65 + 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. 19 + 14m + -21m = -65 + 21m + -21m Combine like terms: 14m + -21m = -7m 19 + -7m = -65 + 21m + -21m Combine like terms: 21m + -21m = 0 19 + -7m = -65 + 0 19 + -7m = -65 Add '-19' to each side of the equation. 19 + -19 + -7m = -65 + -19 Combine like terms: 19 + -19 = 0 0 + -7m = -65 + -19 -7m = -65 + -19 Combine like terms: -65 + -19 = -84 -7m = -84 Divide each side by '-7'. m = 12 Simplifying m = 12
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