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Simplifying 10(6n + -9) = 10(4 + -7n) Reorder the terms: 10(-9 + 6n) = 10(4 + -7n) (-9 * 10 + 6n * 10) = 10(4 + -7n) (-90 + 60n) = 10(4 + -7n) -90 + 60n = (4 * 10 + -7n * 10) -90 + 60n = (40 + -70n) Solving -90 + 60n = 40 + -70n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '70n' to each side of the equation. -90 + 60n + 70n = 40 + -70n + 70n Combine like terms: 60n + 70n = 130n -90 + 130n = 40 + -70n + 70n Combine like terms: -70n + 70n = 0 -90 + 130n = 40 + 0 -90 + 130n = 40 Add '90' to each side of the equation. -90 + 90 + 130n = 40 + 90 Combine like terms: -90 + 90 = 0 0 + 130n = 40 + 90 130n = 40 + 90 Combine like terms: 40 + 90 = 130 130n = 130 Divide each side by '130'. n = 1 Simplifying n = 1
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