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Simplifying factor + -2v2 + -1v + 12 = -3v2 + 6v Reorder the terms: 12 + acfort + -1v + -2v2 = -3v2 + 6v Reorder the terms: 12 + acfort + -1v + -2v2 = 6v + -3v2 Solving 12 + acfort + -1v + -2v2 = 6v + -3v2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + acfort + -1v + -12 + -2v2 = 6v + -12 + -3v2 Reorder the terms: 12 + -12 + acfort + -1v + -2v2 = 6v + -12 + -3v2 Combine like terms: 12 + -12 = 0 0 + acfort + -1v + -2v2 = 6v + -12 + -3v2 acfort + -1v + -2v2 = 6v + -12 + -3v2 Reorder the terms: acfort + -1v + -2v2 = -12 + 6v + -3v2 Add 'v' to each side of the equation. acfort + -1v + v + -2v2 = -12 + 6v + v + -3v2 Combine like terms: -1v + v = 0 acfort + 0 + -2v2 = -12 + 6v + v + -3v2 acfort + -2v2 = -12 + 6v + v + -3v2 Combine like terms: 6v + v = 7v acfort + -2v2 = -12 + 7v + -3v2 Add '2v2' to each side of the equation. acfort + -2v2 + 2v2 = -12 + 7v + -3v2 + 2v2 Combine like terms: -2v2 + 2v2 = 0 acfort + 0 = -12 + 7v + -3v2 + 2v2 acfort = -12 + 7v + -3v2 + 2v2 Combine like terms: -3v2 + 2v2 = -1v2 acfort = -12 + 7v + -1v2 Divide each side by 'cfort'. a = -12c-1f-1o-1r-1t-1 + 7c-1f-1o-1r-1t-1v + -1c-1f-1o-1r-1t-1v2 Simplifying a = -12c-1f-1o-1r-1t-1 + 7c-1f-1o-1r-1t-1v + -1c-1f-1o-1r-1t-1v2
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