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Simplifying -7(n + -4) + -1(-3n + -4) = -5n Reorder the terms: -7(-4 + n) + -1(-3n + -4) = -5n (-4 * -7 + n * -7) + -1(-3n + -4) = -5n (28 + -7n) + -1(-3n + -4) = -5n Reorder the terms: 28 + -7n + -1(-4 + -3n) = -5n 28 + -7n + (-4 * -1 + -3n * -1) = -5n 28 + -7n + (4 + 3n) = -5n Reorder the terms: 28 + 4 + -7n + 3n = -5n Combine like terms: 28 + 4 = 32 32 + -7n + 3n = -5n Combine like terms: -7n + 3n = -4n 32 + -4n = -5n Solving 32 + -4n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 32 + -4n + 5n = -5n + 5n Combine like terms: -4n + 5n = 1n 32 + 1n = -5n + 5n Combine like terms: -5n + 5n = 0 32 + 1n = 0 Add '-32' to each side of the equation. 32 + -32 + 1n = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 1n = 0 + -32 1n = 0 + -32 Combine like terms: 0 + -32 = -32 1n = -32 Divide each side by '1'. n = -32 Simplifying n = -32
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