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Simplifying -3(-7m + -11) + -9(m + 6) = 11 + 8m Reorder the terms: -3(-11 + -7m) + -9(m + 6) = 11 + 8m (-11 * -3 + -7m * -3) + -9(m + 6) = 11 + 8m (33 + 21m) + -9(m + 6) = 11 + 8m Reorder the terms: 33 + 21m + -9(6 + m) = 11 + 8m 33 + 21m + (6 * -9 + m * -9) = 11 + 8m 33 + 21m + (-54 + -9m) = 11 + 8m Reorder the terms: 33 + -54 + 21m + -9m = 11 + 8m Combine like terms: 33 + -54 = -21 -21 + 21m + -9m = 11 + 8m Combine like terms: 21m + -9m = 12m -21 + 12m = 11 + 8m Solving -21 + 12m = 11 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -21 + 12m + -8m = 11 + 8m + -8m Combine like terms: 12m + -8m = 4m -21 + 4m = 11 + 8m + -8m Combine like terms: 8m + -8m = 0 -21 + 4m = 11 + 0 -21 + 4m = 11 Add '21' to each side of the equation. -21 + 21 + 4m = 11 + 21 Combine like terms: -21 + 21 = 0 0 + 4m = 11 + 21 4m = 11 + 21 Combine like terms: 11 + 21 = 32 4m = 32 Divide each side by '4'. m = 8 Simplifying m = 8
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