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Simplifying -35 + 8n = -7 + -4(8n + -3) Reorder the terms: -35 + 8n = -7 + -4(-3 + 8n) -35 + 8n = -7 + (-3 * -4 + 8n * -4) -35 + 8n = -7 + (12 + -32n) Combine like terms: -7 + 12 = 5 -35 + 8n = 5 + -32n Solving -35 + 8n = 5 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -35 + 8n + 32n = 5 + -32n + 32n Combine like terms: 8n + 32n = 40n -35 + 40n = 5 + -32n + 32n Combine like terms: -32n + 32n = 0 -35 + 40n = 5 + 0 -35 + 40n = 5 Add '35' to each side of the equation. -35 + 35 + 40n = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 40n = 5 + 35 40n = 5 + 35 Combine like terms: 5 + 35 = 40 40n = 40 Divide each side by '40'. n = 1 Simplifying n = 1
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