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Simplifying -3 + -1(3n) + -5(n + -2) = 7n + -14 Remove parenthesis around (3n) -3 + -1 * 3n + -5(n + -2) = 7n + -14 Multiply -1 * 3 -3 + -3n + -5(n + -2) = 7n + -14 Reorder the terms: -3 + -3n + -5(-2 + n) = 7n + -14 -3 + -3n + (-2 * -5 + n * -5) = 7n + -14 -3 + -3n + (10 + -5n) = 7n + -14 Reorder the terms: -3 + 10 + -3n + -5n = 7n + -14 Combine like terms: -3 + 10 = 7 7 + -3n + -5n = 7n + -14 Combine like terms: -3n + -5n = -8n 7 + -8n = 7n + -14 Reorder the terms: 7 + -8n = -14 + 7n Solving 7 + -8n = -14 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 7 + -8n + -7n = -14 + 7n + -7n Combine like terms: -8n + -7n = -15n 7 + -15n = -14 + 7n + -7n Combine like terms: 7n + -7n = 0 7 + -15n = -14 + 0 7 + -15n = -14 Add '-7' to each side of the equation. 7 + -7 + -15n = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -15n = -14 + -7 -15n = -14 + -7 Combine like terms: -14 + -7 = -21 -15n = -21 Divide each side by '-15'. n = 1.4 Simplifying n = 1.4
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