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Simplifying 4 = -8(n + -3) + -4(2n + 5) * 4 Reorder the terms: 4 = -8(-3 + n) + -4(2n + 5) * 4 4 = (-3 * -8 + n * -8) + -4(2n + 5) * 4 4 = (24 + -8n) + -4(2n + 5) * 4 Reorder the terms: 4 = 24 + -8n + -4(5 + 2n) * 4 Reorder the terms for easier multiplication: 4 = 24 + -8n + -4 * 4(5 + 2n) Multiply -4 * 4 4 = 24 + -8n + -16(5 + 2n) 4 = 24 + -8n + (5 * -16 + 2n * -16) 4 = 24 + -8n + (-80 + -32n) Reorder the terms: 4 = 24 + -80 + -8n + -32n Combine like terms: 24 + -80 = -56 4 = -56 + -8n + -32n Combine like terms: -8n + -32n = -40n 4 = -56 + -40n Solving 4 = -56 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. 4 + 40n = -56 + -40n + 40n Combine like terms: -40n + 40n = 0 4 + 40n = -56 + 0 4 + 40n = -56 Add '-4' to each side of the equation. 4 + -4 + 40n = -56 + -4 Combine like terms: 4 + -4 = 0 0 + 40n = -56 + -4 40n = -56 + -4 Combine like terms: -56 + -4 = -60 40n = -60 Divide each side by '40'. n = -1.5 Simplifying n = -1.5
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