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Simplifying 52 = 3n + 8(-4n + -8) Reorder the terms: 52 = 3n + 8(-8 + -4n) 52 = 3n + (-8 * 8 + -4n * 8) 52 = 3n + (-64 + -32n) Reorder the terms: 52 = -64 + 3n + -32n Combine like terms: 3n + -32n = -29n 52 = -64 + -29n Solving 52 = -64 + -29n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '29n' to each side of the equation. 52 + 29n = -64 + -29n + 29n Combine like terms: -29n + 29n = 0 52 + 29n = -64 + 0 52 + 29n = -64 Add '-52' to each side of the equation. 52 + -52 + 29n = -64 + -52 Combine like terms: 52 + -52 = 0 0 + 29n = -64 + -52 29n = -64 + -52 Combine like terms: -64 + -52 = -116 29n = -116 Divide each side by '29'. n = -4 Simplifying n = -4
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