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Simplifying 7n + 15 = 4(8n + -4) + 6 Reorder the terms: 15 + 7n = 4(8n + -4) + 6 Reorder the terms: 15 + 7n = 4(-4 + 8n) + 6 15 + 7n = (-4 * 4 + 8n * 4) + 6 15 + 7n = (-16 + 32n) + 6 Reorder the terms: 15 + 7n = -16 + 6 + 32n Combine like terms: -16 + 6 = -10 15 + 7n = -10 + 32n Solving 15 + 7n = -10 + 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. 15 + 7n + -32n = -10 + 32n + -32n Combine like terms: 7n + -32n = -25n 15 + -25n = -10 + 32n + -32n Combine like terms: 32n + -32n = 0 15 + -25n = -10 + 0 15 + -25n = -10 Add '-15' to each side of the equation. 15 + -15 + -25n = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -25n = -10 + -15 -25n = -10 + -15 Combine like terms: -10 + -15 = -25 -25n = -25 Divide each side by '-25'. n = 1 Simplifying n = 1
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