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Simplifying 6 + 3(6n + -7) = -159 + 6n Reorder the terms: 6 + 3(-7 + 6n) = -159 + 6n 6 + (-7 * 3 + 6n * 3) = -159 + 6n 6 + (-21 + 18n) = -159 + 6n Combine like terms: 6 + -21 = -15 -15 + 18n = -159 + 6n Solving -15 + 18n = -159 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -15 + 18n + -6n = -159 + 6n + -6n Combine like terms: 18n + -6n = 12n -15 + 12n = -159 + 6n + -6n Combine like terms: 6n + -6n = 0 -15 + 12n = -159 + 0 -15 + 12n = -159 Add '15' to each side of the equation. -15 + 15 + 12n = -159 + 15 Combine like terms: -15 + 15 = 0 0 + 12n = -159 + 15 12n = -159 + 15 Combine like terms: -159 + 15 = -144 12n = -144 Divide each side by '12'. n = -12 Simplifying n = -12
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