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Simplifying -36 + n = -5n + -4(7n + -8) Reorder the terms: -36 + n = -5n + -4(-8 + 7n) -36 + n = -5n + (-8 * -4 + 7n * -4) -36 + n = -5n + (32 + -28n) Reorder the terms: -36 + n = 32 + -5n + -28n Combine like terms: -5n + -28n = -33n -36 + n = 32 + -33n Solving -36 + n = 32 + -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. -36 + n + 33n = 32 + -33n + 33n Combine like terms: n + 33n = 34n -36 + 34n = 32 + -33n + 33n Combine like terms: -33n + 33n = 0 -36 + 34n = 32 + 0 -36 + 34n = 32 Add '36' to each side of the equation. -36 + 36 + 34n = 32 + 36 Combine like terms: -36 + 36 = 0 0 + 34n = 32 + 36 34n = 32 + 36 Combine like terms: 32 + 36 = 68 34n = 68 Divide each side by '34'. n = 2 Simplifying n = 2
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