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Simplifying 7(n + 3) + -8(6n + 4) = n Reorder the terms: 7(3 + n) + -8(6n + 4) = n (3 * 7 + n * 7) + -8(6n + 4) = n (21 + 7n) + -8(6n + 4) = n Reorder the terms: 21 + 7n + -8(4 + 6n) = n 21 + 7n + (4 * -8 + 6n * -8) = n 21 + 7n + (-32 + -48n) = n Reorder the terms: 21 + -32 + 7n + -48n = n Combine like terms: 21 + -32 = -11 -11 + 7n + -48n = n Combine like terms: 7n + -48n = -41n -11 + -41n = n Solving -11 + -41n = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -11 + -41n + -1n = n + -1n Combine like terms: -41n + -1n = -42n -11 + -42n = n + -1n Combine like terms: n + -1n = 0 -11 + -42n = 0 Add '11' to each side of the equation. -11 + 11 + -42n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -42n = 0 + 11 -42n = 0 + 11 Combine like terms: 0 + 11 = 11 -42n = 11 Divide each side by '-42'. n = -0.2619047619 Simplifying n = -0.2619047619
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