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Simplifying -5(7n + 14) = -16 + -8n Reorder the terms: -5(14 + 7n) = -16 + -8n (14 * -5 + 7n * -5) = -16 + -8n (-70 + -35n) = -16 + -8n Solving -70 + -35n = -16 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -70 + -35n + 8n = -16 + -8n + 8n Combine like terms: -35n + 8n = -27n -70 + -27n = -16 + -8n + 8n Combine like terms: -8n + 8n = 0 -70 + -27n = -16 + 0 -70 + -27n = -16 Add '70' to each side of the equation. -70 + 70 + -27n = -16 + 70 Combine like terms: -70 + 70 = 0 0 + -27n = -16 + 70 -27n = -16 + 70 Combine like terms: -16 + 70 = 54 -27n = 54 Divide each side by '-27'. n = -2 Simplifying n = -2
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