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Simplifying 28 + -11(4n + 4) = 6(7n + 1) + -31 Reorder the terms: 28 + -11(4 + 4n) = 6(7n + 1) + -31 28 + (4 * -11 + 4n * -11) = 6(7n + 1) + -31 28 + (-44 + -44n) = 6(7n + 1) + -31 Combine like terms: 28 + -44 = -16 -16 + -44n = 6(7n + 1) + -31 Reorder the terms: -16 + -44n = 6(1 + 7n) + -31 -16 + -44n = (1 * 6 + 7n * 6) + -31 -16 + -44n = (6 + 42n) + -31 Reorder the terms: -16 + -44n = 6 + -31 + 42n Combine like terms: 6 + -31 = -25 -16 + -44n = -25 + 42n Solving -16 + -44n = -25 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. -16 + -44n + -42n = -25 + 42n + -42n Combine like terms: -44n + -42n = -86n -16 + -86n = -25 + 42n + -42n Combine like terms: 42n + -42n = 0 -16 + -86n = -25 + 0 -16 + -86n = -25 Add '16' to each side of the equation. -16 + 16 + -86n = -25 + 16 Combine like terms: -16 + 16 = 0 0 + -86n = -25 + 16 -86n = -25 + 16 Combine like terms: -25 + 16 = -9 -86n = -9 Divide each side by '-86'. n = 0.1046511628 Simplifying n = 0.1046511628
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