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Simplifying 5(n + 2) = 7(n + -3) Reorder the terms: 5(2 + n) = 7(n + -3) (2 * 5 + n * 5) = 7(n + -3) (10 + 5n) = 7(n + -3) Reorder the terms: 10 + 5n = 7(-3 + n) 10 + 5n = (-3 * 7 + n * 7) 10 + 5n = (-21 + 7n) Solving 10 + 5n = -21 + 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. 10 + 5n + -7n = -21 + 7n + -7n Combine like terms: 5n + -7n = -2n 10 + -2n = -21 + 7n + -7n Combine like terms: 7n + -7n = 0 10 + -2n = -21 + 0 10 + -2n = -21 Add '-10' to each side of the equation. 10 + -10 + -2n = -21 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = -21 + -10 -2n = -21 + -10 Combine like terms: -21 + -10 = -31 -2n = -31 Divide each side by '-2'. n = 15.5 Simplifying n = 15.5
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