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Simplifying 4(-4n + -5) = -3 + -5(1 + 3n) Reorder the terms: 4(-5 + -4n) = -3 + -5(1 + 3n) (-5 * 4 + -4n * 4) = -3 + -5(1 + 3n) (-20 + -16n) = -3 + -5(1 + 3n) -20 + -16n = -3 + (1 * -5 + 3n * -5) -20 + -16n = -3 + (-5 + -15n) Combine like terms: -3 + -5 = -8 -20 + -16n = -8 + -15n Solving -20 + -16n = -8 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -20 + -16n + 15n = -8 + -15n + 15n Combine like terms: -16n + 15n = -1n -20 + -1n = -8 + -15n + 15n Combine like terms: -15n + 15n = 0 -20 + -1n = -8 + 0 -20 + -1n = -8 Add '20' to each side of the equation. -20 + 20 + -1n = -8 + 20 Combine like terms: -20 + 20 = 0 0 + -1n = -8 + 20 -1n = -8 + 20 Combine like terms: -8 + 20 = 12 -1n = 12 Divide each side by '-1'. n = -12 Simplifying n = -12
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