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Simplifying -4(-4n + 2) = -5[4n + -2(n + -2)] Reorder the terms: -4(2 + -4n) = -5[4n + -2(n + -2)] (2 * -4 + -4n * -4) = -5[4n + -2(n + -2)] (-8 + 16n) = -5[4n + -2(n + -2)] Reorder the terms: -8 + 16n = -5[4n + -2(-2 + n)] -8 + 16n = -5[4n + (-2 * -2 + n * -2)] -8 + 16n = -5[4n + (4 + -2n)] Reorder the terms: -8 + 16n = -5[4 + 4n + -2n] Combine like terms: 4n + -2n = 2n -8 + 16n = -5[4 + 2n] -8 + 16n = [4 * -5 + 2n * -5] -8 + 16n = [-20 + -10n] Solving -8 + 16n = -20 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -8 + 16n + 10n = -20 + -10n + 10n Combine like terms: 16n + 10n = 26n -8 + 26n = -20 + -10n + 10n Combine like terms: -10n + 10n = 0 -8 + 26n = -20 + 0 -8 + 26n = -20 Add '8' to each side of the equation. -8 + 8 + 26n = -20 + 8 Combine like terms: -8 + 8 = 0 0 + 26n = -20 + 8 26n = -20 + 8 Combine like terms: -20 + 8 = -12 26n = -12 Divide each side by '26'. n = -0.4615384615 Simplifying n = -0.4615384615
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