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Simplifying -8(n + -5) = 7 + -7n Reorder the terms: -8(-5 + n) = 7 + -7n (-5 * -8 + n * -8) = 7 + -7n (40 + -8n) = 7 + -7n Solving 40 + -8n = 7 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 40 + -8n + 7n = 7 + -7n + 7n Combine like terms: -8n + 7n = -1n 40 + -1n = 7 + -7n + 7n Combine like terms: -7n + 7n = 0 40 + -1n = 7 + 0 40 + -1n = 7 Add '-40' to each side of the equation. 40 + -40 + -1n = 7 + -40 Combine like terms: 40 + -40 = 0 0 + -1n = 7 + -40 -1n = 7 + -40 Combine like terms: 7 + -40 = -33 -1n = -33 Divide each side by '-1'. n = 33 Simplifying n = 33
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