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Simplifying -4(4v + 1) + 3v = -2(7 + 8) Reorder the terms: -4(1 + 4v) + 3v = -2(7 + 8) (1 * -4 + 4v * -4) + 3v = -2(7 + 8) (-4 + -16v) + 3v = -2(7 + 8) Combine like terms: -16v + 3v = -13v -4 + -13v = -2(7 + 8) Combine like terms: 7 + 8 = 15 -4 + -13v = -2(15) Multiply -2 * 15 -4 + -13v = -30 Solving -4 + -13v = -30 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -13v = -30 + 4 Combine like terms: -4 + 4 = 0 0 + -13v = -30 + 4 -13v = -30 + 4 Combine like terms: -30 + 4 = -26 -13v = -26 Divide each side by '-13'. v = 2 Simplifying v = 2
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