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Simplifying 7(2n + -5) = 3(3n + -15) Reorder the terms: 7(-5 + 2n) = 3(3n + -15) (-5 * 7 + 2n * 7) = 3(3n + -15) (-35 + 14n) = 3(3n + -15) Reorder the terms: -35 + 14n = 3(-15 + 3n) -35 + 14n = (-15 * 3 + 3n * 3) -35 + 14n = (-45 + 9n) Solving -35 + 14n = -45 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -35 + 14n + -9n = -45 + 9n + -9n Combine like terms: 14n + -9n = 5n -35 + 5n = -45 + 9n + -9n Combine like terms: 9n + -9n = 0 -35 + 5n = -45 + 0 -35 + 5n = -45 Add '35' to each side of the equation. -35 + 35 + 5n = -45 + 35 Combine like terms: -35 + 35 = 0 0 + 5n = -45 + 35 5n = -45 + 35 Combine like terms: -45 + 35 = -10 5n = -10 Divide each side by '5'. n = -2 Simplifying n = -2
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