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Simplifying 9(r + -4) + -7n = 32 + -2(n + 8) Reorder the terms: 9(-4 + r) + -7n = 32 + -2(n + 8) (-4 * 9 + r * 9) + -7n = 32 + -2(n + 8) (-36 + 9r) + -7n = 32 + -2(n + 8) Reorder the terms: -36 + -7n + 9r = 32 + -2(n + 8) Reorder the terms: -36 + -7n + 9r = 32 + -2(8 + n) -36 + -7n + 9r = 32 + (8 * -2 + n * -2) -36 + -7n + 9r = 32 + (-16 + -2n) Combine like terms: 32 + -16 = 16 -36 + -7n + 9r = 16 + -2n Solving -36 + -7n + 9r = 16 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -36 + -7n + 2n + 9r = 16 + -2n + 2n Combine like terms: -7n + 2n = -5n -36 + -5n + 9r = 16 + -2n + 2n Combine like terms: -2n + 2n = 0 -36 + -5n + 9r = 16 + 0 -36 + -5n + 9r = 16 Add '36' to each side of the equation. -36 + -5n + 36 + 9r = 16 + 36 Reorder the terms: -36 + 36 + -5n + 9r = 16 + 36 Combine like terms: -36 + 36 = 0 0 + -5n + 9r = 16 + 36 -5n + 9r = 16 + 36 Combine like terms: 16 + 36 = 52 -5n + 9r = 52 Add '-9r' to each side of the equation. -5n + 9r + -9r = 52 + -9r Combine like terms: 9r + -9r = 0 -5n + 0 = 52 + -9r -5n = 52 + -9r Divide each side by '-5'. n = -10.4 + 1.8r Simplifying n = -10.4 + 1.8r
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