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Simplifying -4(m + 9) + -3(-7m + -7) = 16(m + 1) + -7 Reorder the terms: -4(9 + m) + -3(-7m + -7) = 16(m + 1) + -7 (9 * -4 + m * -4) + -3(-7m + -7) = 16(m + 1) + -7 (-36 + -4m) + -3(-7m + -7) = 16(m + 1) + -7 Reorder the terms: -36 + -4m + -3(-7 + -7m) = 16(m + 1) + -7 -36 + -4m + (-7 * -3 + -7m * -3) = 16(m + 1) + -7 -36 + -4m + (21 + 21m) = 16(m + 1) + -7 Reorder the terms: -36 + 21 + -4m + 21m = 16(m + 1) + -7 Combine like terms: -36 + 21 = -15 -15 + -4m + 21m = 16(m + 1) + -7 Combine like terms: -4m + 21m = 17m -15 + 17m = 16(m + 1) + -7 Reorder the terms: -15 + 17m = 16(1 + m) + -7 -15 + 17m = (1 * 16 + m * 16) + -7 -15 + 17m = (16 + 16m) + -7 Reorder the terms: -15 + 17m = 16 + -7 + 16m Combine like terms: 16 + -7 = 9 -15 + 17m = 9 + 16m Solving -15 + 17m = 9 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. -15 + 17m + -16m = 9 + 16m + -16m Combine like terms: 17m + -16m = 1m -15 + 1m = 9 + 16m + -16m Combine like terms: 16m + -16m = 0 -15 + 1m = 9 + 0 -15 + 1m = 9 Add '15' to each side of the equation. -15 + 15 + 1m = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 1m = 9 + 15 1m = 9 + 15 Combine like terms: 9 + 15 = 24 1m = 24 Divide each side by '1'. m = 24 Simplifying m = 24
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