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Simplifying 10 + -4(n + 7) = 2(1 + -1n) Reorder the terms: 10 + -4(7 + n) = 2(1 + -1n) 10 + (7 * -4 + n * -4) = 2(1 + -1n) 10 + (-28 + -4n) = 2(1 + -1n) Combine like terms: 10 + -28 = -18 -18 + -4n = 2(1 + -1n) -18 + -4n = (1 * 2 + -1n * 2) -18 + -4n = (2 + -2n) Solving -18 + -4n = 2 + -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. -18 + -4n + 2n = 2 + -2n + 2n Combine like terms: -4n + 2n = -2n -18 + -2n = 2 + -2n + 2n Combine like terms: -2n + 2n = 0 -18 + -2n = 2 + 0 -18 + -2n = 2 Add '18' to each side of the equation. -18 + 18 + -2n = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -2n = 2 + 18 -2n = 2 + 18 Combine like terms: 2 + 18 = 20 -2n = 20 Divide each side by '-2'. n = -10 Simplifying n = -10
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