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Simplifying -32 + 7n = 5n + -8(1 + -1n) -32 + 7n = 5n + (1 * -8 + -1n * -8) -32 + 7n = 5n + (-8 + 8n) Reorder the terms: -32 + 7n = -8 + 5n + 8n Combine like terms: 5n + 8n = 13n -32 + 7n = -8 + 13n Solving -32 + 7n = -8 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. -32 + 7n + -13n = -8 + 13n + -13n Combine like terms: 7n + -13n = -6n -32 + -6n = -8 + 13n + -13n Combine like terms: 13n + -13n = 0 -32 + -6n = -8 + 0 -32 + -6n = -8 Add '32' to each side of the equation. -32 + 32 + -6n = -8 + 32 Combine like terms: -32 + 32 = 0 0 + -6n = -8 + 32 -6n = -8 + 32 Combine like terms: -8 + 32 = 24 -6n = 24 Divide each side by '-6'. n = -4 Simplifying n = -4
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