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Simplifying n + -1(8 + 2n) = 4(3n + -4) n + (8 * -1 + 2n * -1) = 4(3n + -4) n + (-8 + -2n) = 4(3n + -4) Reorder the terms: -8 + n + -2n = 4(3n + -4) Combine like terms: n + -2n = -1n -8 + -1n = 4(3n + -4) Reorder the terms: -8 + -1n = 4(-4 + 3n) -8 + -1n = (-4 * 4 + 3n * 4) -8 + -1n = (-16 + 12n) Solving -8 + -1n = -16 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -8 + -1n + -12n = -16 + 12n + -12n Combine like terms: -1n + -12n = -13n -8 + -13n = -16 + 12n + -12n Combine like terms: 12n + -12n = 0 -8 + -13n = -16 + 0 -8 + -13n = -16 Add '8' to each side of the equation. -8 + 8 + -13n = -16 + 8 Combine like terms: -8 + 8 = 0 0 + -13n = -16 + 8 -13n = -16 + 8 Combine like terms: -16 + 8 = -8 -13n = -8 Divide each side by '-13'. n = 0.6153846154 Simplifying n = 0.6153846154
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