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Simplifying -3(1 + 6n) + 2 = -6n + 35 (1 * -3 + 6n * -3) + 2 = -6n + 35 (-3 + -18n) + 2 = -6n + 35 Reorder the terms: -3 + 2 + -18n = -6n + 35 Combine like terms: -3 + 2 = -1 -1 + -18n = -6n + 35 Reorder the terms: -1 + -18n = 35 + -6n Solving -1 + -18n = 35 + -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. -1 + -18n + 6n = 35 + -6n + 6n Combine like terms: -18n + 6n = -12n -1 + -12n = 35 + -6n + 6n Combine like terms: -6n + 6n = 0 -1 + -12n = 35 + 0 -1 + -12n = 35 Add '1' to each side of the equation. -1 + 1 + -12n = 35 + 1 Combine like terms: -1 + 1 = 0 0 + -12n = 35 + 1 -12n = 35 + 1 Combine like terms: 35 + 1 = 36 -12n = 36 Divide each side by '-12'. n = -3 Simplifying n = -3
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