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Simplifying 7(m + -1) = 6(m + -4) Reorder the terms: 7(-1 + m) = 6(m + -4) (-1 * 7 + m * 7) = 6(m + -4) (-7 + 7m) = 6(m + -4) Reorder the terms: -7 + 7m = 6(-4 + m) -7 + 7m = (-4 * 6 + m * 6) -7 + 7m = (-24 + 6m) Solving -7 + 7m = -24 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -7 + 7m + -6m = -24 + 6m + -6m Combine like terms: 7m + -6m = 1m -7 + 1m = -24 + 6m + -6m Combine like terms: 6m + -6m = 0 -7 + 1m = -24 + 0 -7 + 1m = -24 Add '7' to each side of the equation. -7 + 7 + 1m = -24 + 7 Combine like terms: -7 + 7 = 0 0 + 1m = -24 + 7 1m = -24 + 7 Combine like terms: -24 + 7 = -17 1m = -17 Divide each side by '1'. m = -17 Simplifying m = -17
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