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Simplifying -12(n + 7) + 7(6 + 8b) = n + n Reorder the terms: -12(7 + n) + 7(6 + 8b) = n + n (7 * -12 + n * -12) + 7(6 + 8b) = n + n (-84 + -12n) + 7(6 + 8b) = n + n -84 + -12n + (6 * 7 + 8b * 7) = n + n -84 + -12n + (42 + 56b) = n + n Reorder the terms: -84 + 42 + 56b + -12n = n + n Combine like terms: -84 + 42 = -42 -42 + 56b + -12n = n + n Combine like terms: n + n = 2n -42 + 56b + -12n = 2n Solving -42 + 56b + -12n = 2n Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 56b + 42 + -12n = 42 + 2n Reorder the terms: -42 + 42 + 56b + -12n = 42 + 2n Combine like terms: -42 + 42 = 0 0 + 56b + -12n = 42 + 2n 56b + -12n = 42 + 2n Add '12n' to each side of the equation. 56b + -12n + 12n = 42 + 2n + 12n Combine like terms: -12n + 12n = 0 56b + 0 = 42 + 2n + 12n 56b = 42 + 2n + 12n Combine like terms: 2n + 12n = 14n 56b = 42 + 14n Divide each side by '56'. b = 0.75 + 0.25n Simplifying b = 0.75 + 0.25n
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