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Simplifying 8(11 + -10m) + 6 = -7(m + -3) (11 * 8 + -10m * 8) + 6 = -7(m + -3) (88 + -80m) + 6 = -7(m + -3) Reorder the terms: 88 + 6 + -80m = -7(m + -3) Combine like terms: 88 + 6 = 94 94 + -80m = -7(m + -3) Reorder the terms: 94 + -80m = -7(-3 + m) 94 + -80m = (-3 * -7 + m * -7) 94 + -80m = (21 + -7m) Solving 94 + -80m = 21 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 94 + -80m + 7m = 21 + -7m + 7m Combine like terms: -80m + 7m = -73m 94 + -73m = 21 + -7m + 7m Combine like terms: -7m + 7m = 0 94 + -73m = 21 + 0 94 + -73m = 21 Add '-94' to each side of the equation. 94 + -94 + -73m = 21 + -94 Combine like terms: 94 + -94 = 0 0 + -73m = 21 + -94 -73m = 21 + -94 Combine like terms: 21 + -94 = -73 -73m = -73 Divide each side by '-73'. m = 1 Simplifying m = 1
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