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Simplifying -32 + 7n = -5(n + 5) + 5 Reorder the terms: -32 + 7n = -5(5 + n) + 5 -32 + 7n = (5 * -5 + n * -5) + 5 -32 + 7n = (-25 + -5n) + 5 Reorder the terms: -32 + 7n = -25 + 5 + -5n Combine like terms: -25 + 5 = -20 -32 + 7n = -20 + -5n Solving -32 + 7n = -20 + -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 + 7n + 5n = -20 + -5n + 5n Combine like terms: 7n + 5n = 12n -32 + 12n = -20 + -5n + 5n Combine like terms: -5n + 5n = 0 -32 + 12n = -20 + 0 -32 + 12n = -20 Add '32' to each side of the equation. -32 + 32 + 12n = -20 + 32 Combine like terms: -32 + 32 = 0 0 + 12n = -20 + 32 12n = -20 + 32 Combine like terms: -20 + 32 = 12 12n = 12 Divide each side by '12'. n = 1 Simplifying n = 1
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