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Simplifying -20 + 19n + -20 = -6(-13n + -20) + -19n Reorder the terms: -20 + -20 + 19n = -6(-13n + -20) + -19n Combine like terms: -20 + -20 = -40 -40 + 19n = -6(-13n + -20) + -19n Reorder the terms: -40 + 19n = -6(-20 + -13n) + -19n -40 + 19n = (-20 * -6 + -13n * -6) + -19n -40 + 19n = (120 + 78n) + -19n Combine like terms: 78n + -19n = 59n -40 + 19n = 120 + 59n Solving -40 + 19n = 120 + 59n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-59n' to each side of the equation. -40 + 19n + -59n = 120 + 59n + -59n Combine like terms: 19n + -59n = -40n -40 + -40n = 120 + 59n + -59n Combine like terms: 59n + -59n = 0 -40 + -40n = 120 + 0 -40 + -40n = 120 Add '40' to each side of the equation. -40 + 40 + -40n = 120 + 40 Combine like terms: -40 + 40 = 0 0 + -40n = 120 + 40 -40n = 120 + 40 Combine like terms: 120 + 40 = 160 -40n = 160 Divide each side by '-40'. n = -4 Simplifying n = -4
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