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Simplifying -5(1 + 3n) = n + 5(1 + -3n) (1 * -5 + 3n * -5) = n + 5(1 + -3n) (-5 + -15n) = n + 5(1 + -3n) -5 + -15n = n + (1 * 5 + -3n * 5) -5 + -15n = n + (5 + -15n) Reorder the terms: -5 + -15n = 5 + n + -15n Combine like terms: n + -15n = -14n -5 + -15n = 5 + -14n Solving -5 + -15n = 5 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -5 + -15n + 14n = 5 + -14n + 14n Combine like terms: -15n + 14n = -1n -5 + -1n = 5 + -14n + 14n Combine like terms: -14n + 14n = 0 -5 + -1n = 5 + 0 -5 + -1n = 5 Add '5' to each side of the equation. -5 + 5 + -1n = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = 5 + 5 -1n = 5 + 5 Combine like terms: 5 + 5 = 10 -1n = 10 Divide each side by '-1'. n = -10 Simplifying n = -10
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