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Simplifying -29 + 6n = 3(-2n + -7) + 4 Reorder the terms: -29 + 6n = 3(-7 + -2n) + 4 -29 + 6n = (-7 * 3 + -2n * 3) + 4 -29 + 6n = (-21 + -6n) + 4 Reorder the terms: -29 + 6n = -21 + 4 + -6n Combine like terms: -21 + 4 = -17 -29 + 6n = -17 + -6n Solving -29 + 6n = -17 + -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. -29 + 6n + 6n = -17 + -6n + 6n Combine like terms: 6n + 6n = 12n -29 + 12n = -17 + -6n + 6n Combine like terms: -6n + 6n = 0 -29 + 12n = -17 + 0 -29 + 12n = -17 Add '29' to each side of the equation. -29 + 29 + 12n = -17 + 29 Combine like terms: -29 + 29 = 0 0 + 12n = -17 + 29 12n = -17 + 29 Combine like terms: -17 + 29 = 12 12n = 12 Divide each side by '12'. n = 1 Simplifying n = 1
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