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Simplifying -4(-5v + 7) + -7v = 3(v + -7) + -9 Reorder the terms: -4(7 + -5v) + -7v = 3(v + -7) + -9 (7 * -4 + -5v * -4) + -7v = 3(v + -7) + -9 (-28 + 20v) + -7v = 3(v + -7) + -9 Combine like terms: 20v + -7v = 13v -28 + 13v = 3(v + -7) + -9 Reorder the terms: -28 + 13v = 3(-7 + v) + -9 -28 + 13v = (-7 * 3 + v * 3) + -9 -28 + 13v = (-21 + 3v) + -9 Reorder the terms: -28 + 13v = -21 + -9 + 3v Combine like terms: -21 + -9 = -30 -28 + 13v = -30 + 3v Solving -28 + 13v = -30 + 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. -28 + 13v + -3v = -30 + 3v + -3v Combine like terms: 13v + -3v = 10v -28 + 10v = -30 + 3v + -3v Combine like terms: 3v + -3v = 0 -28 + 10v = -30 + 0 -28 + 10v = -30 Add '28' to each side of the equation. -28 + 28 + 10v = -30 + 28 Combine like terms: -28 + 28 = 0 0 + 10v = -30 + 28 10v = -30 + 28 Combine like terms: -30 + 28 = -2 10v = -2 Divide each side by '10'. v = -0.2 Simplifying v = -0.2
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