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Simplifying 2(m + 3) + -11(m + 9) = 8(m + -11) + -7(m + -11) Reorder the terms: 2(3 + m) + -11(m + 9) = 8(m + -11) + -7(m + -11) (3 * 2 + m * 2) + -11(m + 9) = 8(m + -11) + -7(m + -11) (6 + 2m) + -11(m + 9) = 8(m + -11) + -7(m + -11) Reorder the terms: 6 + 2m + -11(9 + m) = 8(m + -11) + -7(m + -11) 6 + 2m + (9 * -11 + m * -11) = 8(m + -11) + -7(m + -11) 6 + 2m + (-99 + -11m) = 8(m + -11) + -7(m + -11) Reorder the terms: 6 + -99 + 2m + -11m = 8(m + -11) + -7(m + -11) Combine like terms: 6 + -99 = -93 -93 + 2m + -11m = 8(m + -11) + -7(m + -11) Combine like terms: 2m + -11m = -9m -93 + -9m = 8(m + -11) + -7(m + -11) Reorder the terms: -93 + -9m = 8(-11 + m) + -7(m + -11) -93 + -9m = (-11 * 8 + m * 8) + -7(m + -11) -93 + -9m = (-88 + 8m) + -7(m + -11) Reorder the terms: -93 + -9m = -88 + 8m + -7(-11 + m) -93 + -9m = -88 + 8m + (-11 * -7 + m * -7) -93 + -9m = -88 + 8m + (77 + -7m) Reorder the terms: -93 + -9m = -88 + 77 + 8m + -7m Combine like terms: -88 + 77 = -11 -93 + -9m = -11 + 8m + -7m Combine like terms: 8m + -7m = 1m -93 + -9m = -11 + 1m Solving -93 + -9m = -11 + 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. -93 + -9m + -1m = -11 + 1m + -1m Combine like terms: -9m + -1m = -10m -93 + -10m = -11 + 1m + -1m Combine like terms: 1m + -1m = 0 -93 + -10m = -11 + 0 -93 + -10m = -11 Add '93' to each side of the equation. -93 + 93 + -10m = -11 + 93 Combine like terms: -93 + 93 = 0 0 + -10m = -11 + 93 -10m = -11 + 93 Combine like terms: -11 + 93 = 82 -10m = 82 Divide each side by '-10'. m = -8.2 Simplifying m = -8.2
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