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Simplifying 2(3n + -9) = -7n + 29 Reorder the terms: 2(-9 + 3n) = -7n + 29 (-9 * 2 + 3n * 2) = -7n + 29 (-18 + 6n) = -7n + 29 Reorder the terms: -18 + 6n = 29 + -7n Solving -18 + 6n = 29 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -18 + 6n + 7n = 29 + -7n + 7n Combine like terms: 6n + 7n = 13n -18 + 13n = 29 + -7n + 7n Combine like terms: -7n + 7n = 0 -18 + 13n = 29 + 0 -18 + 13n = 29 Add '18' to each side of the equation. -18 + 18 + 13n = 29 + 18 Combine like terms: -18 + 18 = 0 0 + 13n = 29 + 18 13n = 29 + 18 Combine like terms: 29 + 18 = 47 13n = 47 Divide each side by '13'. n = 3.615384615 Simplifying n = 3.615384615
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