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Simplifying -4n + -36 = -5(1 + 7n) Reorder the terms: -36 + -4n = -5(1 + 7n) -36 + -4n = (1 * -5 + 7n * -5) -36 + -4n = (-5 + -35n) Solving -36 + -4n = -5 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. -36 + -4n + 35n = -5 + -35n + 35n Combine like terms: -4n + 35n = 31n -36 + 31n = -5 + -35n + 35n Combine like terms: -35n + 35n = 0 -36 + 31n = -5 + 0 -36 + 31n = -5 Add '36' to each side of the equation. -36 + 36 + 31n = -5 + 36 Combine like terms: -36 + 36 = 0 0 + 31n = -5 + 36 31n = -5 + 36 Combine like terms: -5 + 36 = 31 31n = 31 Divide each side by '31'. n = 1 Simplifying n = 1
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