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Simplifying -6 = -4(5 + 7n) + -7(n + 3) -6 = (5 * -4 + 7n * -4) + -7(n + 3) -6 = (-20 + -28n) + -7(n + 3) Reorder the terms: -6 = -20 + -28n + -7(3 + n) -6 = -20 + -28n + (3 * -7 + n * -7) -6 = -20 + -28n + (-21 + -7n) Reorder the terms: -6 = -20 + -21 + -28n + -7n Combine like terms: -20 + -21 = -41 -6 = -41 + -28n + -7n Combine like terms: -28n + -7n = -35n -6 = -41 + -35n Solving -6 = -41 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. -6 + 35n = -41 + -35n + 35n Combine like terms: -35n + 35n = 0 -6 + 35n = -41 + 0 -6 + 35n = -41 Add '6' to each side of the equation. -6 + 6 + 35n = -41 + 6 Combine like terms: -6 + 6 = 0 0 + 35n = -41 + 6 35n = -41 + 6 Combine like terms: -41 + 6 = -35 35n = -35 Divide each side by '35'. n = -1 Simplifying n = -1
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