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Simplifying M + 4 + -7m + -4 = -6(m + 7) + 7(m + -5) Reorder the terms: 4 + -4 + M + -7m = -6(m + 7) + 7(m + -5) Combine like terms: 4 + -4 = 0 0 + M + -7m = -6(m + 7) + 7(m + -5) M + -7m = -6(m + 7) + 7(m + -5) Reorder the terms: M + -7m = -6(7 + m) + 7(m + -5) M + -7m = (7 * -6 + m * -6) + 7(m + -5) M + -7m = (-42 + -6m) + 7(m + -5) Reorder the terms: M + -7m = -42 + -6m + 7(-5 + m) M + -7m = -42 + -6m + (-5 * 7 + m * 7) M + -7m = -42 + -6m + (-35 + 7m) Reorder the terms: M + -7m = -42 + -35 + -6m + 7m Combine like terms: -42 + -35 = -77 M + -7m = -77 + -6m + 7m Combine like terms: -6m + 7m = 1m M + -7m = -77 + 1m Solving M + -7m = -77 + 1m 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. M + -7m + 7m = -77 + 1m + 7m Combine like terms: -7m + 7m = 0 M + 0 = -77 + 1m + 7m M = -77 + 1m + 7m Combine like terms: 1m + 7m = 8m M = -77 + 8m Simplifying M = -77 + 8m
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