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Simplifying 19n + -14 + -15 = 8(5n + 20) Reorder the terms: -14 + -15 + 19n = 8(5n + 20) Combine like terms: -14 + -15 = -29 -29 + 19n = 8(5n + 20) Reorder the terms: -29 + 19n = 8(20 + 5n) -29 + 19n = (20 * 8 + 5n * 8) -29 + 19n = (160 + 40n) Solving -29 + 19n = 160 + 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. -29 + 19n + -40n = 160 + 40n + -40n Combine like terms: 19n + -40n = -21n -29 + -21n = 160 + 40n + -40n Combine like terms: 40n + -40n = 0 -29 + -21n = 160 + 0 -29 + -21n = 160 Add '29' to each side of the equation. -29 + 29 + -21n = 160 + 29 Combine like terms: -29 + 29 = 0 0 + -21n = 160 + 29 -21n = 160 + 29 Combine like terms: 160 + 29 = 189 -21n = 189 Divide each side by '-21'. n = -9 Simplifying n = -9
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