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Simplifying 7x + 5(3n + -6) = -5 + -3x Reorder the terms: 7x + 5(-6 + 3n) = -5 + -3x 7x + (-6 * 5 + 3n * 5) = -5 + -3x 7x + (-30 + 15n) = -5 + -3x Reorder the terms: -30 + 15n + 7x = -5 + -3x Solving -30 + 15n + 7x = -5 + -3x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 15n + 30 + 7x = -5 + 30 + -3x Reorder the terms: -30 + 30 + 15n + 7x = -5 + 30 + -3x Combine like terms: -30 + 30 = 0 0 + 15n + 7x = -5 + 30 + -3x 15n + 7x = -5 + 30 + -3x Combine like terms: -5 + 30 = 25 15n + 7x = 25 + -3x Add '-7x' to each side of the equation. 15n + 7x + -7x = 25 + -3x + -7x Combine like terms: 7x + -7x = 0 15n + 0 = 25 + -3x + -7x 15n = 25 + -3x + -7x Combine like terms: -3x + -7x = -10x 15n = 25 + -10x Divide each side by '15'. n = 1.666666667 + -0.6666666667x Simplifying n = 1.666666667 + -0.6666666667x
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