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Simplifying -7 + -5(3n + 6) = -142 Reorder the terms: -7 + -5(6 + 3n) = -142 -7 + (6 * -5 + 3n * -5) = -142 -7 + (-30 + -15n) = -142 Combine like terms: -7 + -30 = -37 -37 + -15n = -142 Solving -37 + -15n = -142 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -15n = -142 + 37 Combine like terms: -37 + 37 = 0 0 + -15n = -142 + 37 -15n = -142 + 37 Combine like terms: -142 + 37 = -105 -15n = -105 Divide each side by '-15'. n = 7 Simplifying n = 7
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