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Simplifying -36 + -6n = -8 + 5(3n + 7) Reorder the terms: -36 + -6n = -8 + 5(7 + 3n) -36 + -6n = -8 + (7 * 5 + 3n * 5) -36 + -6n = -8 + (35 + 15n) Combine like terms: -8 + 35 = 27 -36 + -6n = 27 + 15n Solving -36 + -6n = 27 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -36 + -6n + -15n = 27 + 15n + -15n Combine like terms: -6n + -15n = -21n -36 + -21n = 27 + 15n + -15n Combine like terms: 15n + -15n = 0 -36 + -21n = 27 + 0 -36 + -21n = 27 Add '36' to each side of the equation. -36 + 36 + -21n = 27 + 36 Combine like terms: -36 + 36 = 0 0 + -21n = 27 + 36 -21n = 27 + 36 Combine like terms: 27 + 36 = 63 -21n = 63 Divide each side by '-21'. n = -3 Simplifying n = -3
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