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Simplifying 7(2n + -3) = 7(n + 1) Reorder the terms: 7(-3 + 2n) = 7(n + 1) (-3 * 7 + 2n * 7) = 7(n + 1) (-21 + 14n) = 7(n + 1) Reorder the terms: -21 + 14n = 7(1 + n) -21 + 14n = (1 * 7 + n * 7) -21 + 14n = (7 + 7n) Solving -21 + 14n = 7 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -21 + 14n + -7n = 7 + 7n + -7n Combine like terms: 14n + -7n = 7n -21 + 7n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 -21 + 7n = 7 + 0 -21 + 7n = 7 Add '21' to each side of the equation. -21 + 21 + 7n = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 7n = 7 + 21 7n = 7 + 21 Combine like terms: 7 + 21 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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