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Simplifying 7(m + -9) + -6(2m + -7) = 6(m + 8) + 4 Reorder the terms: 7(-9 + m) + -6(2m + -7) = 6(m + 8) + 4 (-9 * 7 + m * 7) + -6(2m + -7) = 6(m + 8) + 4 (-63 + 7m) + -6(2m + -7) = 6(m + 8) + 4 Reorder the terms: -63 + 7m + -6(-7 + 2m) = 6(m + 8) + 4 -63 + 7m + (-7 * -6 + 2m * -6) = 6(m + 8) + 4 -63 + 7m + (42 + -12m) = 6(m + 8) + 4 Reorder the terms: -63 + 42 + 7m + -12m = 6(m + 8) + 4 Combine like terms: -63 + 42 = -21 -21 + 7m + -12m = 6(m + 8) + 4 Combine like terms: 7m + -12m = -5m -21 + -5m = 6(m + 8) + 4 Reorder the terms: -21 + -5m = 6(8 + m) + 4 -21 + -5m = (8 * 6 + m * 6) + 4 -21 + -5m = (48 + 6m) + 4 Reorder the terms: -21 + -5m = 48 + 4 + 6m Combine like terms: 48 + 4 = 52 -21 + -5m = 52 + 6m Solving -21 + -5m = 52 + 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. -21 + -5m + -6m = 52 + 6m + -6m Combine like terms: -5m + -6m = -11m -21 + -11m = 52 + 6m + -6m Combine like terms: 6m + -6m = 0 -21 + -11m = 52 + 0 -21 + -11m = 52 Add '21' to each side of the equation. -21 + 21 + -11m = 52 + 21 Combine like terms: -21 + 21 = 0 0 + -11m = 52 + 21 -11m = 52 + 21 Combine like terms: 52 + 21 = 73 -11m = 73 Divide each side by '-11'. m = -6.636363636 Simplifying m = -6.636363636
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