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Simplifying -3(7n + 7n + 14) = 5(-7n + -7) + -21 Reorder the terms: -3(14 + 7n + 7n) = 5(-7n + -7) + -21 Combine like terms: 7n + 7n = 14n -3(14 + 14n) = 5(-7n + -7) + -21 (14 * -3 + 14n * -3) = 5(-7n + -7) + -21 (-42 + -42n) = 5(-7n + -7) + -21 Reorder the terms: -42 + -42n = 5(-7 + -7n) + -21 -42 + -42n = (-7 * 5 + -7n * 5) + -21 -42 + -42n = (-35 + -35n) + -21 Reorder the terms: -42 + -42n = -35 + -21 + -35n Combine like terms: -35 + -21 = -56 -42 + -42n = -56 + -35n Solving -42 + -42n = -56 + -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. -42 + -42n + 35n = -56 + -35n + 35n Combine like terms: -42n + 35n = -7n -42 + -7n = -56 + -35n + 35n Combine like terms: -35n + 35n = 0 -42 + -7n = -56 + 0 -42 + -7n = -56 Add '42' to each side of the equation. -42 + 42 + -7n = -56 + 42 Combine like terms: -42 + 42 = 0 0 + -7n = -56 + 42 -7n = -56 + 42 Combine like terms: -56 + 42 = -14 -7n = -14 Divide each side by '-7'. n = 2 Simplifying n = 2
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