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Simplifying 6(n + 7) = 7n + -4 Reorder the terms: 6(7 + n) = 7n + -4 (7 * 6 + n * 6) = 7n + -4 (42 + 6n) = 7n + -4 Reorder the terms: 42 + 6n = -4 + 7n Solving 42 + 6n = -4 + 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. 42 + 6n + -7n = -4 + 7n + -7n Combine like terms: 6n + -7n = -1n 42 + -1n = -4 + 7n + -7n Combine like terms: 7n + -7n = 0 42 + -1n = -4 + 0 42 + -1n = -4 Add '-42' to each side of the equation. 42 + -42 + -1n = -4 + -42 Combine like terms: 42 + -42 = 0 0 + -1n = -4 + -42 -1n = -4 + -42 Combine like terms: -4 + -42 = -46 -1n = -46 Divide each side by '-1'. n = 46 Simplifying n = 46
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