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Simplifying 8(8m + -11) + -9(8 + 7m) = 7m + 2m Reorder the terms: 8(-11 + 8m) + -9(8 + 7m) = 7m + 2m (-11 * 8 + 8m * 8) + -9(8 + 7m) = 7m + 2m (-88 + 64m) + -9(8 + 7m) = 7m + 2m -88 + 64m + (8 * -9 + 7m * -9) = 7m + 2m -88 + 64m + (-72 + -63m) = 7m + 2m Reorder the terms: -88 + -72 + 64m + -63m = 7m + 2m Combine like terms: -88 + -72 = -160 -160 + 64m + -63m = 7m + 2m Combine like terms: 64m + -63m = 1m -160 + 1m = 7m + 2m Combine like terms: 7m + 2m = 9m -160 + 1m = 9m Solving -160 + 1m = 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -160 + 1m + -9m = 9m + -9m Combine like terms: 1m + -9m = -8m -160 + -8m = 9m + -9m Combine like terms: 9m + -9m = 0 -160 + -8m = 0 Add '160' to each side of the equation. -160 + 160 + -8m = 0 + 160 Combine like terms: -160 + 160 = 0 0 + -8m = 0 + 160 -8m = 0 + 160 Combine like terms: 0 + 160 = 160 -8m = 160 Divide each side by '-8'. m = -20 Simplifying m = -20
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