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Simplifying 6(m + -7) + -8(6m + -1) = -43(m + 1) + 6 Reorder the terms: 6(-7 + m) + -8(6m + -1) = -43(m + 1) + 6 (-7 * 6 + m * 6) + -8(6m + -1) = -43(m + 1) + 6 (-42 + 6m) + -8(6m + -1) = -43(m + 1) + 6 Reorder the terms: -42 + 6m + -8(-1 + 6m) = -43(m + 1) + 6 -42 + 6m + (-1 * -8 + 6m * -8) = -43(m + 1) + 6 -42 + 6m + (8 + -48m) = -43(m + 1) + 6 Reorder the terms: -42 + 8 + 6m + -48m = -43(m + 1) + 6 Combine like terms: -42 + 8 = -34 -34 + 6m + -48m = -43(m + 1) + 6 Combine like terms: 6m + -48m = -42m -34 + -42m = -43(m + 1) + 6 Reorder the terms: -34 + -42m = -43(1 + m) + 6 -34 + -42m = (1 * -43 + m * -43) + 6 -34 + -42m = (-43 + -43m) + 6 Reorder the terms: -34 + -42m = -43 + 6 + -43m Combine like terms: -43 + 6 = -37 -34 + -42m = -37 + -43m Solving -34 + -42m = -37 + -43m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '43m' to each side of the equation. -34 + -42m + 43m = -37 + -43m + 43m Combine like terms: -42m + 43m = 1m -34 + 1m = -37 + -43m + 43m Combine like terms: -43m + 43m = 0 -34 + 1m = -37 + 0 -34 + 1m = -37 Add '34' to each side of the equation. -34 + 34 + 1m = -37 + 34 Combine like terms: -34 + 34 = 0 0 + 1m = -37 + 34 1m = -37 + 34 Combine like terms: -37 + 34 = -3 1m = -3 Divide each side by '1'. m = -3 Simplifying m = -3
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