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Simplifying -23 + -3n = -1(-8n + -5) + -7n Reorder the terms: -23 + -3n = -1(-5 + -8n) + -7n -23 + -3n = (-5 * -1 + -8n * -1) + -7n -23 + -3n = (5 + 8n) + -7n Combine like terms: 8n + -7n = 1n -23 + -3n = 5 + 1n Solving -23 + -3n = 5 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -23 + -3n + -1n = 5 + 1n + -1n Combine like terms: -3n + -1n = -4n -23 + -4n = 5 + 1n + -1n Combine like terms: 1n + -1n = 0 -23 + -4n = 5 + 0 -23 + -4n = 5 Add '23' to each side of the equation. -23 + 23 + -4n = 5 + 23 Combine like terms: -23 + 23 = 0 0 + -4n = 5 + 23 -4n = 5 + 23 Combine like terms: 5 + 23 = 28 -4n = 28 Divide each side by '-4'. n = -7 Simplifying n = -7
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