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Simplifying 230 = 4(7n + 34) + 5(n + 1) Reorder the terms: 230 = 4(34 + 7n) + 5(n + 1) 230 = (34 * 4 + 7n * 4) + 5(n + 1) 230 = (136 + 28n) + 5(n + 1) Reorder the terms: 230 = 136 + 28n + 5(1 + n) 230 = 136 + 28n + (1 * 5 + n * 5) 230 = 136 + 28n + (5 + 5n) Reorder the terms: 230 = 136 + 5 + 28n + 5n Combine like terms: 136 + 5 = 141 230 = 141 + 28n + 5n Combine like terms: 28n + 5n = 33n 230 = 141 + 33n Solving 230 = 141 + 33n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-33n' to each side of the equation. 230 + -33n = 141 + 33n + -33n Combine like terms: 33n + -33n = 0 230 + -33n = 141 + 0 230 + -33n = 141 Add '-230' to each side of the equation. 230 + -230 + -33n = 141 + -230 Combine like terms: 230 + -230 = 0 0 + -33n = 141 + -230 -33n = 141 + -230 Combine like terms: 141 + -230 = -89 -33n = -89 Divide each side by '-33'. n = 2.696969697 Simplifying n = 2.696969697
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