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Simplifying -160 = -1n + 4(-7 + -8n) -160 = -1n + (-7 * 4 + -8n * 4) -160 = -1n + (-28 + -32n) Reorder the terms: -160 = -28 + -1n + -32n Combine like terms: -1n + -32n = -33n -160 = -28 + -33n Solving -160 = -28 + -33n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '33n' to each side of the equation. -160 + 33n = -28 + -33n + 33n Combine like terms: -33n + 33n = 0 -160 + 33n = -28 + 0 -160 + 33n = -28 Add '160' to each side of the equation. -160 + 160 + 33n = -28 + 160 Combine like terms: -160 + 160 = 0 0 + 33n = -28 + 160 33n = -28 + 160 Combine like terms: -28 + 160 = 132 33n = 132 Divide each side by '33'. n = 4 Simplifying n = 4
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