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Simplifying 8 + -4(-4n + 7) = -1n + 3(6n + -5) Reorder the terms: 8 + -4(7 + -4n) = -1n + 3(6n + -5) 8 + (7 * -4 + -4n * -4) = -1n + 3(6n + -5) 8 + (-28 + 16n) = -1n + 3(6n + -5) Combine like terms: 8 + -28 = -20 -20 + 16n = -1n + 3(6n + -5) Reorder the terms: -20 + 16n = -1n + 3(-5 + 6n) -20 + 16n = -1n + (-5 * 3 + 6n * 3) -20 + 16n = -1n + (-15 + 18n) Reorder the terms: -20 + 16n = -15 + -1n + 18n Combine like terms: -1n + 18n = 17n -20 + 16n = -15 + 17n Solving -20 + 16n = -15 + 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. -20 + 16n + -17n = -15 + 17n + -17n Combine like terms: 16n + -17n = -1n -20 + -1n = -15 + 17n + -17n Combine like terms: 17n + -17n = 0 -20 + -1n = -15 + 0 -20 + -1n = -15 Add '20' to each side of the equation. -20 + 20 + -1n = -15 + 20 Combine like terms: -20 + 20 = 0 0 + -1n = -15 + 20 -1n = -15 + 20 Combine like terms: -15 + 20 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5
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