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Simplifying 19 + 7m = -5(1 + -2m) 19 + 7m = (1 * -5 + -2m * -5) 19 + 7m = (-5 + 10m) Solving 19 + 7m = -5 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 19 + 7m + -10m = -5 + 10m + -10m Combine like terms: 7m + -10m = -3m 19 + -3m = -5 + 10m + -10m Combine like terms: 10m + -10m = 0 19 + -3m = -5 + 0 19 + -3m = -5 Add '-19' to each side of the equation. 19 + -19 + -3m = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -3m = -5 + -19 -3m = -5 + -19 Combine like terms: -5 + -19 = -24 -3m = -24 Divide each side by '-3'. m = 8 Simplifying m = 8
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