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Simplifying 4n + -3(4 + -5n) = 9 + -1(n + -19) 4n + (4 * -3 + -5n * -3) = 9 + -1(n + -19) 4n + (-12 + 15n) = 9 + -1(n + -19) Reorder the terms: -12 + 4n + 15n = 9 + -1(n + -19) Combine like terms: 4n + 15n = 19n -12 + 19n = 9 + -1(n + -19) Reorder the terms: -12 + 19n = 9 + -1(-19 + n) -12 + 19n = 9 + (-19 * -1 + n * -1) -12 + 19n = 9 + (19 + -1n) Combine like terms: 9 + 19 = 28 -12 + 19n = 28 + -1n Solving -12 + 19n = 28 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -12 + 19n + n = 28 + -1n + n Combine like terms: 19n + n = 20n -12 + 20n = 28 + -1n + n Combine like terms: -1n + n = 0 -12 + 20n = 28 + 0 -12 + 20n = 28 Add '12' to each side of the equation. -12 + 12 + 20n = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 20n = 28 + 12 20n = 28 + 12 Combine like terms: 28 + 12 = 40 20n = 40 Divide each side by '20'. n = 2 Simplifying n = 2
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