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Simplifying 4(n + -4) = -2(n + -19) Reorder the terms: 4(-4 + n) = -2(n + -19) (-4 * 4 + n * 4) = -2(n + -19) (-16 + 4n) = -2(n + -19) Reorder the terms: -16 + 4n = -2(-19 + n) -16 + 4n = (-19 * -2 + n * -2) -16 + 4n = (38 + -2n) Solving -16 + 4n = 38 + -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. -16 + 4n + 2n = 38 + -2n + 2n Combine like terms: 4n + 2n = 6n -16 + 6n = 38 + -2n + 2n Combine like terms: -2n + 2n = 0 -16 + 6n = 38 + 0 -16 + 6n = 38 Add '16' to each side of the equation. -16 + 16 + 6n = 38 + 16 Combine like terms: -16 + 16 = 0 0 + 6n = 38 + 16 6n = 38 + 16 Combine like terms: 38 + 16 = 54 6n = 54 Divide each side by '6'. n = 9 Simplifying n = 9
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