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Simplifying 7n + -21 = 7(2n + -5) Reorder the terms: -21 + 7n = 7(2n + -5) Reorder the terms: -21 + 7n = 7(-5 + 2n) -21 + 7n = (-5 * 7 + 2n * 7) -21 + 7n = (-35 + 14n) Solving -21 + 7n = -35 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -21 + 7n + -14n = -35 + 14n + -14n Combine like terms: 7n + -14n = -7n -21 + -7n = -35 + 14n + -14n Combine like terms: 14n + -14n = 0 -21 + -7n = -35 + 0 -21 + -7n = -35 Add '21' to each side of the equation. -21 + 21 + -7n = -35 + 21 Combine like terms: -21 + 21 = 0 0 + -7n = -35 + 21 -7n = -35 + 21 Combine like terms: -35 + 21 = -14 -7n = -14 Divide each side by '-7'. n = 2 Simplifying n = 2
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