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Simplifying 2(1 + -6n) = -37 + n (1 * 2 + -6n * 2) = -37 + n (2 + -12n) = -37 + n Solving 2 + -12n = -37 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 2 + -12n + -1n = -37 + n + -1n Combine like terms: -12n + -1n = -13n 2 + -13n = -37 + n + -1n Combine like terms: n + -1n = 0 2 + -13n = -37 + 0 2 + -13n = -37 Add '-2' to each side of the equation. 2 + -2 + -13n = -37 + -2 Combine like terms: 2 + -2 = 0 0 + -13n = -37 + -2 -13n = -37 + -2 Combine like terms: -37 + -2 = -39 -13n = -39 Divide each side by '-13'. n = 3 Simplifying n = 3
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