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Simplifying 4(2n + -3) = 6(2n + 2) Reorder the terms: 4(-3 + 2n) = 6(2n + 2) (-3 * 4 + 2n * 4) = 6(2n + 2) (-12 + 8n) = 6(2n + 2) Reorder the terms: -12 + 8n = 6(2 + 2n) -12 + 8n = (2 * 6 + 2n * 6) -12 + 8n = (12 + 12n) Solving -12 + 8n = 12 + 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. -12 + 8n + -12n = 12 + 12n + -12n Combine like terms: 8n + -12n = -4n -12 + -4n = 12 + 12n + -12n Combine like terms: 12n + -12n = 0 -12 + -4n = 12 + 0 -12 + -4n = 12 Add '12' to each side of the equation. -12 + 12 + -4n = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -4n = 12 + 12 -4n = 12 + 12 Combine like terms: 12 + 12 = 24 -4n = 24 Divide each side by '-4'. n = -6 Simplifying n = -6
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