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Simplifying 19 + -1(5m + -6) = 3 + 2m + -11 Reorder the terms: 19 + -1(-6 + 5m) = 3 + 2m + -11 19 + (-6 * -1 + 5m * -1) = 3 + 2m + -11 19 + (6 + -5m) = 3 + 2m + -11 Combine like terms: 19 + 6 = 25 25 + -5m = 3 + 2m + -11 Reorder the terms: 25 + -5m = 3 + -11 + 2m Combine like terms: 3 + -11 = -8 25 + -5m = -8 + 2m Solving 25 + -5m = -8 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 25 + -5m + -2m = -8 + 2m + -2m Combine like terms: -5m + -2m = -7m 25 + -7m = -8 + 2m + -2m Combine like terms: 2m + -2m = 0 25 + -7m = -8 + 0 25 + -7m = -8 Add '-25' to each side of the equation. 25 + -25 + -7m = -8 + -25 Combine like terms: 25 + -25 = 0 0 + -7m = -8 + -25 -7m = -8 + -25 Combine like terms: -8 + -25 = -33 -7m = -33 Divide each side by '-7'. m = 4.714285714 Simplifying m = 4.714285714
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