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Simplifying -7n + 16 = -8(n + -3) Reorder the terms: 16 + -7n = -8(n + -3) Reorder the terms: 16 + -7n = -8(-3 + n) 16 + -7n = (-3 * -8 + n * -8) 16 + -7n = (24 + -8n) Solving 16 + -7n = 24 + -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. 16 + -7n + 8n = 24 + -8n + 8n Combine like terms: -7n + 8n = 1n 16 + 1n = 24 + -8n + 8n Combine like terms: -8n + 8n = 0 16 + 1n = 24 + 0 16 + 1n = 24 Add '-16' to each side of the equation. 16 + -16 + 1n = 24 + -16 Combine like terms: 16 + -16 = 0 0 + 1n = 24 + -16 1n = 24 + -16 Combine like terms: 24 + -16 = 8 1n = 8 Divide each side by '1'. n = 8 Simplifying n = 8
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