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Simplifying -3(1 + n) + 7n = 5(2 + n) (1 * -3 + n * -3) + 7n = 5(2 + n) (-3 + -3n) + 7n = 5(2 + n) Combine like terms: -3n + 7n = 4n -3 + 4n = 5(2 + n) -3 + 4n = (2 * 5 + n * 5) -3 + 4n = (10 + 5n) Solving -3 + 4n = 10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -3 + 4n + -5n = 10 + 5n + -5n Combine like terms: 4n + -5n = -1n -3 + -1n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 -3 + -1n = 10 + 0 -3 + -1n = 10 Add '3' to each side of the equation. -3 + 3 + -1n = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -1n = 10 + 3 -1n = 10 + 3 Combine like terms: 10 + 3 = 13 -1n = 13 Divide each side by '-1'. n = -13 Simplifying n = -13
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