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Simplifying -28 = -3(-7n + -7) + -10(-5 + 12n) Reorder the terms: -28 = -3(-7 + -7n) + -10(-5 + 12n) -28 = (-7 * -3 + -7n * -3) + -10(-5 + 12n) -28 = (21 + 21n) + -10(-5 + 12n) -28 = 21 + 21n + (-5 * -10 + 12n * -10) -28 = 21 + 21n + (50 + -120n) Reorder the terms: -28 = 21 + 50 + 21n + -120n Combine like terms: 21 + 50 = 71 -28 = 71 + 21n + -120n Combine like terms: 21n + -120n = -99n -28 = 71 + -99n Solving -28 = 71 + -99n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '99n' to each side of the equation. -28 + 99n = 71 + -99n + 99n Combine like terms: -99n + 99n = 0 -28 + 99n = 71 + 0 -28 + 99n = 71 Add '28' to each side of the equation. -28 + 28 + 99n = 71 + 28 Combine like terms: -28 + 28 = 0 0 + 99n = 71 + 28 99n = 71 + 28 Combine like terms: 71 + 28 = 99 99n = 99 Divide each side by '99'. n = 1 Simplifying n = 1
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