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Simplifying 7(m + 9) = -12 + 19m Reorder the terms: 7(9 + m) = -12 + 19m (9 * 7 + m * 7) = -12 + 19m (63 + 7m) = -12 + 19m Solving 63 + 7m = -12 + 19m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19m' to each side of the equation. 63 + 7m + -19m = -12 + 19m + -19m Combine like terms: 7m + -19m = -12m 63 + -12m = -12 + 19m + -19m Combine like terms: 19m + -19m = 0 63 + -12m = -12 + 0 63 + -12m = -12 Add '-63' to each side of the equation. 63 + -63 + -12m = -12 + -63 Combine like terms: 63 + -63 = 0 0 + -12m = -12 + -63 -12m = -12 + -63 Combine like terms: -12 + -63 = -75 -12m = -75 Divide each side by '-12'. m = 6.25 Simplifying m = 6.25
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