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Simplifying -8(5n + -18) + 19 = 3(-1n + 5) Reorder the terms: -8(-18 + 5n) + 19 = 3(-1n + 5) (-18 * -8 + 5n * -8) + 19 = 3(-1n + 5) (144 + -40n) + 19 = 3(-1n + 5) Reorder the terms: 144 + 19 + -40n = 3(-1n + 5) Combine like terms: 144 + 19 = 163 163 + -40n = 3(-1n + 5) Reorder the terms: 163 + -40n = 3(5 + -1n) 163 + -40n = (5 * 3 + -1n * 3) 163 + -40n = (15 + -3n) Solving 163 + -40n = 15 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 163 + -40n + 3n = 15 + -3n + 3n Combine like terms: -40n + 3n = -37n 163 + -37n = 15 + -3n + 3n Combine like terms: -3n + 3n = 0 163 + -37n = 15 + 0 163 + -37n = 15 Add '-163' to each side of the equation. 163 + -163 + -37n = 15 + -163 Combine like terms: 163 + -163 = 0 0 + -37n = 15 + -163 -37n = 15 + -163 Combine like terms: 15 + -163 = -148 -37n = -148 Divide each side by '-37'. n = 4 Simplifying n = 4
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