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Simplifying 8n + -16 = 4(3n + -7) Reorder the terms: -16 + 8n = 4(3n + -7) Reorder the terms: -16 + 8n = 4(-7 + 3n) -16 + 8n = (-7 * 4 + 3n * 4) -16 + 8n = (-28 + 12n) Solving -16 + 8n = -28 + 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. -16 + 8n + -12n = -28 + 12n + -12n Combine like terms: 8n + -12n = -4n -16 + -4n = -28 + 12n + -12n Combine like terms: 12n + -12n = 0 -16 + -4n = -28 + 0 -16 + -4n = -28 Add '16' to each side of the equation. -16 + 16 + -4n = -28 + 16 Combine like terms: -16 + 16 = 0 0 + -4n = -28 + 16 -4n = -28 + 16 Combine like terms: -28 + 16 = -12 -4n = -12 Divide each side by '-4'. n = 3 Simplifying n = 3
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