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Simplifying -172 = -8(1 + -4n) + -4 -172 = (1 * -8 + -4n * -8) + -4 -172 = (-8 + 32n) + -4 Reorder the terms: -172 = -8 + -4 + 32n Combine like terms: -8 + -4 = -12 -172 = -12 + 32n Solving -172 = -12 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. -172 + -32n = -12 + 32n + -32n Combine like terms: 32n + -32n = 0 -172 + -32n = -12 + 0 -172 + -32n = -12 Add '172' to each side of the equation. -172 + 172 + -32n = -12 + 172 Combine like terms: -172 + 172 = 0 0 + -32n = -12 + 172 -32n = -12 + 172 Combine like terms: -12 + 172 = 160 -32n = 160 Divide each side by '-32'. n = -5 Simplifying n = -5
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