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Simplifying -6(6 + n) = 10(1 + 4n) (6 * -6 + n * -6) = 10(1 + 4n) (-36 + -6n) = 10(1 + 4n) -36 + -6n = (1 * 10 + 4n * 10) -36 + -6n = (10 + 40n) Solving -36 + -6n = 10 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -36 + -6n + -40n = 10 + 40n + -40n Combine like terms: -6n + -40n = -46n -36 + -46n = 10 + 40n + -40n Combine like terms: 40n + -40n = 0 -36 + -46n = 10 + 0 -36 + -46n = 10 Add '36' to each side of the equation. -36 + 36 + -46n = 10 + 36 Combine like terms: -36 + 36 = 0 0 + -46n = 10 + 36 -46n = 10 + 36 Combine like terms: 10 + 36 = 46 -46n = 46 Divide each side by '-46'. n = -1 Simplifying n = -1
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