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Simplifying 5n + -7(2n + 2) = -5n + 18 Reorder the terms: 5n + -7(2 + 2n) = -5n + 18 5n + (2 * -7 + 2n * -7) = -5n + 18 5n + (-14 + -14n) = -5n + 18 Reorder the terms: -14 + 5n + -14n = -5n + 18 Combine like terms: 5n + -14n = -9n -14 + -9n = -5n + 18 Reorder the terms: -14 + -9n = 18 + -5n Solving -14 + -9n = 18 + -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. -14 + -9n + 5n = 18 + -5n + 5n Combine like terms: -9n + 5n = -4n -14 + -4n = 18 + -5n + 5n Combine like terms: -5n + 5n = 0 -14 + -4n = 18 + 0 -14 + -4n = 18 Add '14' to each side of the equation. -14 + 14 + -4n = 18 + 14 Combine like terms: -14 + 14 = 0 0 + -4n = 18 + 14 -4n = 18 + 14 Combine like terms: 18 + 14 = 32 -4n = 32 Divide each side by '-4'. n = -8 Simplifying n = -8
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