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Simplifying 101 = -8(5n + -3) + -3 Reorder the terms: 101 = -8(-3 + 5n) + -3 101 = (-3 * -8 + 5n * -8) + -3 101 = (24 + -40n) + -3 Reorder the terms: 101 = 24 + -3 + -40n Combine like terms: 24 + -3 = 21 101 = 21 + -40n Solving 101 = 21 + -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. 101 + 40n = 21 + -40n + 40n Combine like terms: -40n + 40n = 0 101 + 40n = 21 + 0 101 + 40n = 21 Add '-101' to each side of the equation. 101 + -101 + 40n = 21 + -101 Combine like terms: 101 + -101 = 0 0 + 40n = 21 + -101 40n = 21 + -101 Combine like terms: 21 + -101 = -80 40n = -80 Divide each side by '40'. n = -2 Simplifying n = -2
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