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Simplifying -5(m + 7) + -3(7m + -1) = -27(m + 2) + -7 Reorder the terms: -5(7 + m) + -3(7m + -1) = -27(m + 2) + -7 (7 * -5 + m * -5) + -3(7m + -1) = -27(m + 2) + -7 (-35 + -5m) + -3(7m + -1) = -27(m + 2) + -7 Reorder the terms: -35 + -5m + -3(-1 + 7m) = -27(m + 2) + -7 -35 + -5m + (-1 * -3 + 7m * -3) = -27(m + 2) + -7 -35 + -5m + (3 + -21m) = -27(m + 2) + -7 Reorder the terms: -35 + 3 + -5m + -21m = -27(m + 2) + -7 Combine like terms: -35 + 3 = -32 -32 + -5m + -21m = -27(m + 2) + -7 Combine like terms: -5m + -21m = -26m -32 + -26m = -27(m + 2) + -7 Reorder the terms: -32 + -26m = -27(2 + m) + -7 -32 + -26m = (2 * -27 + m * -27) + -7 -32 + -26m = (-54 + -27m) + -7 Reorder the terms: -32 + -26m = -54 + -7 + -27m Combine like terms: -54 + -7 = -61 -32 + -26m = -61 + -27m Solving -32 + -26m = -61 + -27m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '27m' to each side of the equation. -32 + -26m + 27m = -61 + -27m + 27m Combine like terms: -26m + 27m = 1m -32 + 1m = -61 + -27m + 27m Combine like terms: -27m + 27m = 0 -32 + 1m = -61 + 0 -32 + 1m = -61 Add '32' to each side of the equation. -32 + 32 + 1m = -61 + 32 Combine like terms: -32 + 32 = 0 0 + 1m = -61 + 32 1m = -61 + 32 Combine like terms: -61 + 32 = -29 1m = -29 Divide each side by '1'. m = -29 Simplifying m = -29
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