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Simplifying 49 = -3 + -4(4v + 3) Reorder the terms: 49 = -3 + -4(3 + 4v) 49 = -3 + (3 * -4 + 4v * -4) 49 = -3 + (-12 + -16v) Combine like terms: -3 + -12 = -15 49 = -15 + -16v Solving 49 = -15 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. 49 + 16v = -15 + -16v + 16v Combine like terms: -16v + 16v = 0 49 + 16v = -15 + 0 49 + 16v = -15 Add '-49' to each side of the equation. 49 + -49 + 16v = -15 + -49 Combine like terms: 49 + -49 = 0 0 + 16v = -15 + -49 16v = -15 + -49 Combine like terms: -15 + -49 = -64 16v = -64 Divide each side by '16'. v = -4 Simplifying v = -4
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