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Simplifying 4n + 35 = -4(-2n + -2) + -1 Reorder the terms: 35 + 4n = -4(-2n + -2) + -1 Reorder the terms: 35 + 4n = -4(-2 + -2n) + -1 35 + 4n = (-2 * -4 + -2n * -4) + -1 35 + 4n = (8 + 8n) + -1 Reorder the terms: 35 + 4n = 8 + -1 + 8n Combine like terms: 8 + -1 = 7 35 + 4n = 7 + 8n Solving 35 + 4n = 7 + 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. 35 + 4n + -8n = 7 + 8n + -8n Combine like terms: 4n + -8n = -4n 35 + -4n = 7 + 8n + -8n Combine like terms: 8n + -8n = 0 35 + -4n = 7 + 0 35 + -4n = 7 Add '-35' to each side of the equation. 35 + -35 + -4n = 7 + -35 Combine like terms: 35 + -35 = 0 0 + -4n = 7 + -35 -4n = 7 + -35 Combine like terms: 7 + -35 = -28 -4n = -28 Divide each side by '-4'. n = 7 Simplifying n = 7
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