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Simplifying -4(5v + -1) + 7v = -3(v + 4) Reorder the terms: -4(-1 + 5v) + 7v = -3(v + 4) (-1 * -4 + 5v * -4) + 7v = -3(v + 4) (4 + -20v) + 7v = -3(v + 4) Combine like terms: -20v + 7v = -13v 4 + -13v = -3(v + 4) Reorder the terms: 4 + -13v = -3(4 + v) 4 + -13v = (4 * -3 + v * -3) 4 + -13v = (-12 + -3v) Solving 4 + -13v = -12 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 4 + -13v + 3v = -12 + -3v + 3v Combine like terms: -13v + 3v = -10v 4 + -10v = -12 + -3v + 3v Combine like terms: -3v + 3v = 0 4 + -10v = -12 + 0 4 + -10v = -12 Add '-4' to each side of the equation. 4 + -4 + -10v = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -10v = -12 + -4 -10v = -12 + -4 Combine like terms: -12 + -4 = -16 -10v = -16 Divide each side by '-10'. v = 1.6 Simplifying v = 1.6
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