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Simplifying 19 + -6m = -3(m + 7) + -8m Reorder the terms: 19 + -6m = -3(7 + m) + -8m 19 + -6m = (7 * -3 + m * -3) + -8m 19 + -6m = (-21 + -3m) + -8m Combine like terms: -3m + -8m = -11m 19 + -6m = -21 + -11m Solving 19 + -6m = -21 + -11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11m' to each side of the equation. 19 + -6m + 11m = -21 + -11m + 11m Combine like terms: -6m + 11m = 5m 19 + 5m = -21 + -11m + 11m Combine like terms: -11m + 11m = 0 19 + 5m = -21 + 0 19 + 5m = -21 Add '-19' to each side of the equation. 19 + -19 + 5m = -21 + -19 Combine like terms: 19 + -19 = 0 0 + 5m = -21 + -19 5m = -21 + -19 Combine like terms: -21 + -19 = -40 5m = -40 Divide each side by '5'. m = -8 Simplifying m = -8
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