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Simplifying -15n + -2(n + 6) = 29 + -19n Reorder the terms: -15n + -2(6 + n) = 29 + -19n -15n + (6 * -2 + n * -2) = 29 + -19n -15n + (-12 + -2n) = 29 + -19n Reorder the terms: -12 + -15n + -2n = 29 + -19n Combine like terms: -15n + -2n = -17n -12 + -17n = 29 + -19n Solving -12 + -17n = 29 + -19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19n' to each side of the equation. -12 + -17n + 19n = 29 + -19n + 19n Combine like terms: -17n + 19n = 2n -12 + 2n = 29 + -19n + 19n Combine like terms: -19n + 19n = 0 -12 + 2n = 29 + 0 -12 + 2n = 29 Add '12' to each side of the equation. -12 + 12 + 2n = 29 + 12 Combine like terms: -12 + 12 = 0 0 + 2n = 29 + 12 2n = 29 + 12 Combine like terms: 29 + 12 = 41 2n = 41 Divide each side by '2'. n = 20.5 Simplifying n = 20.5
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