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Simplifying 5(n + 43) = 2(3n + 4) Reorder the terms: 5(43 + n) = 2(3n + 4) (43 * 5 + n * 5) = 2(3n + 4) (215 + 5n) = 2(3n + 4) Reorder the terms: 215 + 5n = 2(4 + 3n) 215 + 5n = (4 * 2 + 3n * 2) 215 + 5n = (8 + 6n) Solving 215 + 5n = 8 + 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. 215 + 5n + -6n = 8 + 6n + -6n Combine like terms: 5n + -6n = -1n 215 + -1n = 8 + 6n + -6n Combine like terms: 6n + -6n = 0 215 + -1n = 8 + 0 215 + -1n = 8 Add '-215' to each side of the equation. 215 + -215 + -1n = 8 + -215 Combine like terms: 215 + -215 = 0 0 + -1n = 8 + -215 -1n = 8 + -215 Combine like terms: 8 + -215 = -207 -1n = -207 Divide each side by '-1'. n = 207 Simplifying n = 207
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