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