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Simplifying -15 + 6n = -7 + 8(4n + -1) Reorder the terms: -15 + 6n = -7 + 8(-1 + 4n) -15 + 6n = -7 + (-1 * 8 + 4n * 8) -15 + 6n = -7 + (-8 + 32n) Combine like terms: -7 + -8 = -15 -15 + 6n = -15 + 32n Add '15' to each side of the equation. -15 + 15 + 6n = -15 + 15 + 32n Combine like terms: -15 + 15 = 0 0 + 6n = -15 + 15 + 32n 6n = -15 + 15 + 32n Combine like terms: -15 + 15 = 0 6n = 0 + 32n 6n = 32n Solving 6n = 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 6n + -32n = 32n + -32n Combine like terms: 6n + -32n = -26n -26n = 32n + -32n Combine like terms: 32n + -32n = 0 -26n = 0 Divide each side by '-26'. n = 0 Simplifying n = 0
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