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Simplifying 6m + 19 = -5(3 + -8m) Reorder the terms: 19 + 6m = -5(3 + -8m) 19 + 6m = (3 * -5 + -8m * -5) 19 + 6m = (-15 + 40m) Solving 19 + 6m = -15 + 40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-40m' to each side of the equation. 19 + 6m + -40m = -15 + 40m + -40m Combine like terms: 6m + -40m = -34m 19 + -34m = -15 + 40m + -40m Combine like terms: 40m + -40m = 0 19 + -34m = -15 + 0 19 + -34m = -15 Add '-19' to each side of the equation. 19 + -19 + -34m = -15 + -19 Combine like terms: 19 + -19 = 0 0 + -34m = -15 + -19 -34m = -15 + -19 Combine like terms: -15 + -19 = -34 -34m = -34 Divide each side by '-34'. m = 1 Simplifying m = 1
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