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Simplifying -6(1 + 5n) = -8(1 + 3n) + -7n (1 * -6 + 5n * -6) = -8(1 + 3n) + -7n (-6 + -30n) = -8(1 + 3n) + -7n -6 + -30n = (1 * -8 + 3n * -8) + -7n -6 + -30n = (-8 + -24n) + -7n Combine like terms: -24n + -7n = -31n -6 + -30n = -8 + -31n Solving -6 + -30n = -8 + -31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31n' to each side of the equation. -6 + -30n + 31n = -8 + -31n + 31n Combine like terms: -30n + 31n = 1n -6 + 1n = -8 + -31n + 31n Combine like terms: -31n + 31n = 0 -6 + 1n = -8 + 0 -6 + 1n = -8 Add '6' to each side of the equation. -6 + 6 + 1n = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 1n = -8 + 6 1n = -8 + 6 Combine like terms: -8 + 6 = -2 1n = -2 Divide each side by '1'. n = -2 Simplifying n = -2
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