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Simplifying -8(6n + -2) + 7n = -29 + 4n Reorder the terms: -8(-2 + 6n) + 7n = -29 + 4n (-2 * -8 + 6n * -8) + 7n = -29 + 4n (16 + -48n) + 7n = -29 + 4n Combine like terms: -48n + 7n = -41n 16 + -41n = -29 + 4n Solving 16 + -41n = -29 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 16 + -41n + -4n = -29 + 4n + -4n Combine like terms: -41n + -4n = -45n 16 + -45n = -29 + 4n + -4n Combine like terms: 4n + -4n = 0 16 + -45n = -29 + 0 16 + -45n = -29 Add '-16' to each side of the equation. 16 + -16 + -45n = -29 + -16 Combine like terms: 16 + -16 = 0 0 + -45n = -29 + -16 -45n = -29 + -16 Combine like terms: -29 + -16 = -45 -45n = -45 Divide each side by '-45'. n = 1 Simplifying n = 1
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