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Simplifying -29 + 8v = 4(5v + 7) Reorder the terms: -29 + 8v = 4(7 + 5v) -29 + 8v = (7 * 4 + 5v * 4) -29 + 8v = (28 + 20v) Solving -29 + 8v = 28 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. -29 + 8v + -20v = 28 + 20v + -20v Combine like terms: 8v + -20v = -12v -29 + -12v = 28 + 20v + -20v Combine like terms: 20v + -20v = 0 -29 + -12v = 28 + 0 -29 + -12v = 28 Add '29' to each side of the equation. -29 + 29 + -12v = 28 + 29 Combine like terms: -29 + 29 = 0 0 + -12v = 28 + 29 -12v = 28 + 29 Combine like terms: 28 + 29 = 57 -12v = 57 Divide each side by '-12'. v = -4.75 Simplifying v = -4.75
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