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Simplifying 7 + -5n = 2 + 5(4n + -4) Reorder the terms: 7 + -5n = 2 + 5(-4 + 4n) 7 + -5n = 2 + (-4 * 5 + 4n * 5) 7 + -5n = 2 + (-20 + 20n) Combine like terms: 2 + -20 = -18 7 + -5n = -18 + 20n Solving 7 + -5n = -18 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 7 + -5n + -20n = -18 + 20n + -20n Combine like terms: -5n + -20n = -25n 7 + -25n = -18 + 20n + -20n Combine like terms: 20n + -20n = 0 7 + -25n = -18 + 0 7 + -25n = -18 Add '-7' to each side of the equation. 7 + -7 + -25n = -18 + -7 Combine like terms: 7 + -7 = 0 0 + -25n = -18 + -7 -25n = -18 + -7 Combine like terms: -18 + -7 = -25 -25n = -25 Divide each side by '-25'. n = 1 Simplifying n = 1
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