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Simplifying 5 + -7(-5n + 4) = -3n + 15 Reorder the terms: 5 + -7(4 + -5n) = -3n + 15 5 + (4 * -7 + -5n * -7) = -3n + 15 5 + (-28 + 35n) = -3n + 15 Combine like terms: 5 + -28 = -23 -23 + 35n = -3n + 15 Reorder the terms: -23 + 35n = 15 + -3n Solving -23 + 35n = 15 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -23 + 35n + 3n = 15 + -3n + 3n Combine like terms: 35n + 3n = 38n -23 + 38n = 15 + -3n + 3n Combine like terms: -3n + 3n = 0 -23 + 38n = 15 + 0 -23 + 38n = 15 Add '23' to each side of the equation. -23 + 23 + 38n = 15 + 23 Combine like terms: -23 + 23 = 0 0 + 38n = 15 + 23 38n = 15 + 23 Combine like terms: 15 + 23 = 38 38n = 38 Divide each side by '38'. n = 1 Simplifying n = 1
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