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Simplifying -3(5v + -7) + 2v = 5(4 + 7) Reorder the terms: -3(-7 + 5v) + 2v = 5(4 + 7) (-7 * -3 + 5v * -3) + 2v = 5(4 + 7) (21 + -15v) + 2v = 5(4 + 7) Combine like terms: -15v + 2v = -13v 21 + -13v = 5(4 + 7) Combine like terms: 4 + 7 = 11 21 + -13v = 5(11) Multiply 5 * 11 21 + -13v = 55 Solving 21 + -13v = 55 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -13v = 55 + -21 Combine like terms: 21 + -21 = 0 0 + -13v = 55 + -21 -13v = 55 + -21 Combine like terms: 55 + -21 = 34 -13v = 34 Divide each side by '-13'. v = -2.615384615 Simplifying v = -2.615384615
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