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Simplifying 7n + 5(n + -3) = 13n Reorder the terms: 7n + 5(-3 + n) = 13n 7n + (-3 * 5 + n * 5) = 13n 7n + (-15 + 5n) = 13n Reorder the terms: -15 + 7n + 5n = 13n Combine like terms: 7n + 5n = 12n -15 + 12n = 13n Solving -15 + 12n = 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. -15 + 12n + -13n = 13n + -13n Combine like terms: 12n + -13n = -1n -15 + -1n = 13n + -13n Combine like terms: 13n + -13n = 0 -15 + -1n = 0 Add '15' to each side of the equation. -15 + 15 + -1n = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1n = 0 + 15 -1n = 0 + 15 Combine like terms: 0 + 15 = 15 -1n = 15 Divide each side by '-1'. n = -15 Simplifying n = -15
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