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Simplifying 52 = n + 4(-2 + -4n) 52 = n + (-2 * 4 + -4n * 4) 52 = n + (-8 + -16n) Reorder the terms: 52 = -8 + n + -16n Combine like terms: n + -16n = -15n 52 = -8 + -15n Solving 52 = -8 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 52 + 15n = -8 + -15n + 15n Combine like terms: -15n + 15n = 0 52 + 15n = -8 + 0 52 + 15n = -8 Add '-52' to each side of the equation. 52 + -52 + 15n = -8 + -52 Combine like terms: 52 + -52 = 0 0 + 15n = -8 + -52 15n = -8 + -52 Combine like terms: -8 + -52 = -60 15n = -60 Divide each side by '15'. n = -4 Simplifying n = -4
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