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Simplifying 7(m + -9) + 6 = -4(-7 + -6m) Reorder the terms: 7(-9 + m) + 6 = -4(-7 + -6m) (-9 * 7 + m * 7) + 6 = -4(-7 + -6m) (-63 + 7m) + 6 = -4(-7 + -6m) Reorder the terms: -63 + 6 + 7m = -4(-7 + -6m) Combine like terms: -63 + 6 = -57 -57 + 7m = -4(-7 + -6m) -57 + 7m = (-7 * -4 + -6m * -4) -57 + 7m = (28 + 24m) Solving -57 + 7m = 28 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. -57 + 7m + -24m = 28 + 24m + -24m Combine like terms: 7m + -24m = -17m -57 + -17m = 28 + 24m + -24m Combine like terms: 24m + -24m = 0 -57 + -17m = 28 + 0 -57 + -17m = 28 Add '57' to each side of the equation. -57 + 57 + -17m = 28 + 57 Combine like terms: -57 + 57 = 0 0 + -17m = 28 + 57 -17m = 28 + 57 Combine like terms: 28 + 57 = 85 -17m = 85 Divide each side by '-17'. m = -5 Simplifying m = -5
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