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Simplifying -54 = 3(4v + -7) + 3 Reorder the terms: -54 = 3(-7 + 4v) + 3 -54 = (-7 * 3 + 4v * 3) + 3 -54 = (-21 + 12v) + 3 Reorder the terms: -54 = -21 + 3 + 12v Combine like terms: -21 + 3 = -18 -54 = -18 + 12v Solving -54 = -18 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -54 + -12v = -18 + 12v + -12v Combine like terms: 12v + -12v = 0 -54 + -12v = -18 + 0 -54 + -12v = -18 Add '54' to each side of the equation. -54 + 54 + -12v = -18 + 54 Combine like terms: -54 + 54 = 0 0 + -12v = -18 + 54 -12v = -18 + 54 Combine like terms: -18 + 54 = 36 -12v = 36 Divide each side by '-12'. v = -3 Simplifying v = -3
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