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Simplifying -16 + -2n = -12 + -2(-1n + -8) Reorder the terms: -16 + -2n = -12 + -2(-8 + -1n) -16 + -2n = -12 + (-8 * -2 + -1n * -2) -16 + -2n = -12 + (16 + 2n) Combine like terms: -12 + 16 = 4 -16 + -2n = 4 + 2n Solving -16 + -2n = 4 + 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 + -2n + -2n = 4 + 2n + -2n Combine like terms: -2n + -2n = -4n -16 + -4n = 4 + 2n + -2n Combine like terms: 2n + -2n = 0 -16 + -4n = 4 + 0 -16 + -4n = 4 Add '16' to each side of the equation. -16 + 16 + -4n = 4 + 16 Combine like terms: -16 + 16 = 0 0 + -4n = 4 + 16 -4n = 4 + 16 Combine like terms: 4 + 16 = 20 -4n = 20 Divide each side by '-4'. n = -5 Simplifying n = -5
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