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Simplifying 7(m + -4) = 9(m + -7) Reorder the terms: 7(-4 + m) = 9(m + -7) (-4 * 7 + m * 7) = 9(m + -7) (-28 + 7m) = 9(m + -7) Reorder the terms: -28 + 7m = 9(-7 + m) -28 + 7m = (-7 * 9 + m * 9) -28 + 7m = (-63 + 9m) Solving -28 + 7m = -63 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -28 + 7m + -9m = -63 + 9m + -9m Combine like terms: 7m + -9m = -2m -28 + -2m = -63 + 9m + -9m Combine like terms: 9m + -9m = 0 -28 + -2m = -63 + 0 -28 + -2m = -63 Add '28' to each side of the equation. -28 + 28 + -2m = -63 + 28 Combine like terms: -28 + 28 = 0 0 + -2m = -63 + 28 -2m = -63 + 28 Combine like terms: -63 + 28 = -35 -2m = -35 Divide each side by '-2'. m = 17.5 Simplifying m = 17.5
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