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Simplifying -30 = -5(n + 1) + -5(1 + 3n) Reorder the terms: -30 = -5(1 + n) + -5(1 + 3n) -30 = (1 * -5 + n * -5) + -5(1 + 3n) -30 = (-5 + -5n) + -5(1 + 3n) -30 = -5 + -5n + (1 * -5 + 3n * -5) -30 = -5 + -5n + (-5 + -15n) Reorder the terms: -30 = -5 + -5 + -5n + -15n Combine like terms: -5 + -5 = -10 -30 = -10 + -5n + -15n Combine like terms: -5n + -15n = -20n -30 = -10 + -20n Solving -30 = -10 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. -30 + 20n = -10 + -20n + 20n Combine like terms: -20n + 20n = 0 -30 + 20n = -10 + 0 -30 + 20n = -10 Add '30' to each side of the equation. -30 + 30 + 20n = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 20n = -10 + 30 20n = -10 + 30 Combine like terms: -10 + 30 = 20 20n = 20 Divide each side by '20'. n = 1 Simplifying n = 1
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