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Simplifying 2m + -3(m + 5) + -11 = 2m + 6 + -1m Reorder the terms: 2m + -3(5 + m) + -11 = 2m + 6 + -1m 2m + (5 * -3 + m * -3) + -11 = 2m + 6 + -1m 2m + (-15 + -3m) + -11 = 2m + 6 + -1m Reorder the terms: -15 + -11 + 2m + -3m = 2m + 6 + -1m Combine like terms: -15 + -11 = -26 -26 + 2m + -3m = 2m + 6 + -1m Combine like terms: 2m + -3m = -1m -26 + -1m = 2m + 6 + -1m Reorder the terms: -26 + -1m = 6 + 2m + -1m Combine like terms: 2m + -1m = 1m -26 + -1m = 6 + 1m Solving -26 + -1m = 6 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -26 + -1m + -1m = 6 + 1m + -1m Combine like terms: -1m + -1m = -2m -26 + -2m = 6 + 1m + -1m Combine like terms: 1m + -1m = 0 -26 + -2m = 6 + 0 -26 + -2m = 6 Add '26' to each side of the equation. -26 + 26 + -2m = 6 + 26 Combine like terms: -26 + 26 = 0 0 + -2m = 6 + 26 -2m = 6 + 26 Combine like terms: 6 + 26 = 32 -2m = 32 Divide each side by '-2'. m = -16 Simplifying m = -16
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