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Simplifying 5(6x + 2) + -3(5n + -5) = 63 Reorder the terms: 5(2 + 6x) + -3(5n + -5) = 63 (2 * 5 + 6x * 5) + -3(5n + -5) = 63 (10 + 30x) + -3(5n + -5) = 63 Reorder the terms: 10 + 30x + -3(-5 + 5n) = 63 10 + 30x + (-5 * -3 + 5n * -3) = 63 10 + 30x + (15 + -15n) = 63 Reorder the terms: 10 + 15 + -15n + 30x = 63 Combine like terms: 10 + 15 = 25 25 + -15n + 30x = 63 Solving 25 + -15n + 30x = 63 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -15n + -25 + 30x = 63 + -25 Reorder the terms: 25 + -25 + -15n + 30x = 63 + -25 Combine like terms: 25 + -25 = 0 0 + -15n + 30x = 63 + -25 -15n + 30x = 63 + -25 Combine like terms: 63 + -25 = 38 -15n + 30x = 38 Add '-30x' to each side of the equation. -15n + 30x + -30x = 38 + -30x Combine like terms: 30x + -30x = 0 -15n + 0 = 38 + -30x -15n = 38 + -30x Divide each side by '-15'. n = -2.533333333 + 2x Simplifying n = -2.533333333 + 2x
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