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Simplifying 10 + -2(n + 7) = 2n + 16 Reorder the terms: 10 + -2(7 + n) = 2n + 16 10 + (7 * -2 + n * -2) = 2n + 16 10 + (-14 + -2n) = 2n + 16 Combine like terms: 10 + -14 = -4 -4 + -2n = 2n + 16 Reorder the terms: -4 + -2n = 16 + 2n Solving -4 + -2n = 16 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -4 + -2n + -2n = 16 + 2n + -2n Combine like terms: -2n + -2n = -4n -4 + -4n = 16 + 2n + -2n Combine like terms: 2n + -2n = 0 -4 + -4n = 16 + 0 -4 + -4n = 16 Add '4' to each side of the equation. -4 + 4 + -4n = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -4n = 16 + 4 -4n = 16 + 4 Combine like terms: 16 + 4 = 20 -4n = 20 Divide each side by '-4'. n = -5 Simplifying n = -5
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