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Simplifying 48 = 8(7 + -8n) + -2(n + 4) 48 = (7 * 8 + -8n * 8) + -2(n + 4) 48 = (56 + -64n) + -2(n + 4) Reorder the terms: 48 = 56 + -64n + -2(4 + n) 48 = 56 + -64n + (4 * -2 + n * -2) 48 = 56 + -64n + (-8 + -2n) Reorder the terms: 48 = 56 + -8 + -64n + -2n Combine like terms: 56 + -8 = 48 48 = 48 + -64n + -2n Combine like terms: -64n + -2n = -66n 48 = 48 + -66n Add '-48' to each side of the equation. 48 + -48 = 48 + -48 + -66n Combine like terms: 48 + -48 = 0 0 = 48 + -48 + -66n Combine like terms: 48 + -48 = 0 0 = 0 + -66n 0 = -66n Solving 0 = -66n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '66n' to each side of the equation. 0 + 66n = -66n + 66n Remove the zero: 66n = -66n + 66n Combine like terms: -66n + 66n = 0 66n = 0 Divide each side by '66'. n = 0 Simplifying n = 0
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