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Simplifying 4n + -36 = -8(1 + -4n) Reorder the terms: -36 + 4n = -8(1 + -4n) -36 + 4n = (1 * -8 + -4n * -8) -36 + 4n = (-8 + 32n) Solving -36 + 4n = -8 + 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. -36 + 4n + -32n = -8 + 32n + -32n Combine like terms: 4n + -32n = -28n -36 + -28n = -8 + 32n + -32n Combine like terms: 32n + -32n = 0 -36 + -28n = -8 + 0 -36 + -28n = -8 Add '36' to each side of the equation. -36 + 36 + -28n = -8 + 36 Combine like terms: -36 + 36 = 0 0 + -28n = -8 + 36 -28n = -8 + 36 Combine like terms: -8 + 36 = 28 -28n = 28 Divide each side by '-28'. n = -1 Simplifying n = -1
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