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Simplifying 6(2n + 7) = -28(2n + 7) + 2 Reorder the terms: 6(7 + 2n) = -28(2n + 7) + 2 (7 * 6 + 2n * 6) = -28(2n + 7) + 2 (42 + 12n) = -28(2n + 7) + 2 Reorder the terms: 42 + 12n = -28(7 + 2n) + 2 42 + 12n = (7 * -28 + 2n * -28) + 2 42 + 12n = (-196 + -56n) + 2 Reorder the terms: 42 + 12n = -196 + 2 + -56n Combine like terms: -196 + 2 = -194 42 + 12n = -194 + -56n Solving 42 + 12n = -194 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. 42 + 12n + 56n = -194 + -56n + 56n Combine like terms: 12n + 56n = 68n 42 + 68n = -194 + -56n + 56n Combine like terms: -56n + 56n = 0 42 + 68n = -194 + 0 42 + 68n = -194 Add '-42' to each side of the equation. 42 + -42 + 68n = -194 + -42 Combine like terms: 42 + -42 = 0 0 + 68n = -194 + -42 68n = -194 + -42 Combine like terms: -194 + -42 = -236 68n = -236 Divide each side by '68'. n = -3.470588235 Simplifying n = -3.470588235
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