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Simplifying -2(-6n + -4) + 2n = -37 + -1n Reorder the terms: -2(-4 + -6n) + 2n = -37 + -1n (-4 * -2 + -6n * -2) + 2n = -37 + -1n (8 + 12n) + 2n = -37 + -1n Combine like terms: 12n + 2n = 14n 8 + 14n = -37 + -1n Solving 8 + 14n = -37 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 8 + 14n + n = -37 + -1n + n Combine like terms: 14n + n = 15n 8 + 15n = -37 + -1n + n Combine like terms: -1n + n = 0 8 + 15n = -37 + 0 8 + 15n = -37 Add '-8' to each side of the equation. 8 + -8 + 15n = -37 + -8 Combine like terms: 8 + -8 = 0 0 + 15n = -37 + -8 15n = -37 + -8 Combine like terms: -37 + -8 = -45 15n = -45 Divide each side by '15'. n = -3 Simplifying n = -3
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