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Simplifying -40 + 4m = -3(-7m + -7) + 7 Reorder the terms: -40 + 4m = -3(-7 + -7m) + 7 -40 + 4m = (-7 * -3 + -7m * -3) + 7 -40 + 4m = (21 + 21m) + 7 Reorder the terms: -40 + 4m = 21 + 7 + 21m Combine like terms: 21 + 7 = 28 -40 + 4m = 28 + 21m Solving -40 + 4m = 28 + 21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21m' to each side of the equation. -40 + 4m + -21m = 28 + 21m + -21m Combine like terms: 4m + -21m = -17m -40 + -17m = 28 + 21m + -21m Combine like terms: 21m + -21m = 0 -40 + -17m = 28 + 0 -40 + -17m = 28 Add '40' to each side of the equation. -40 + 40 + -17m = 28 + 40 Combine like terms: -40 + 40 = 0 0 + -17m = 28 + 40 -17m = 28 + 40 Combine like terms: 28 + 40 = 68 -17m = 68 Divide each side by '-17'. m = -4 Simplifying m = -4
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