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Simplifying 8n + 22 = -2(-4n + 3) + 7n Reorder the terms: 22 + 8n = -2(-4n + 3) + 7n Reorder the terms: 22 + 8n = -2(3 + -4n) + 7n 22 + 8n = (3 * -2 + -4n * -2) + 7n 22 + 8n = (-6 + 8n) + 7n Combine like terms: 8n + 7n = 15n 22 + 8n = -6 + 15n Solving 22 + 8n = -6 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 22 + 8n + -15n = -6 + 15n + -15n Combine like terms: 8n + -15n = -7n 22 + -7n = -6 + 15n + -15n Combine like terms: 15n + -15n = 0 22 + -7n = -6 + 0 22 + -7n = -6 Add '-22' to each side of the equation. 22 + -22 + -7n = -6 + -22 Combine like terms: 22 + -22 = 0 0 + -7n = -6 + -22 -7n = -6 + -22 Combine like terms: -6 + -22 = -28 -7n = -28 Divide each side by '-7'. n = 4 Simplifying n = 4
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