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Simplifying 5v + -28 = 4(7v + 8) + -8v Reorder the terms: -28 + 5v = 4(7v + 8) + -8v Reorder the terms: -28 + 5v = 4(8 + 7v) + -8v -28 + 5v = (8 * 4 + 7v * 4) + -8v -28 + 5v = (32 + 28v) + -8v Combine like terms: 28v + -8v = 20v -28 + 5v = 32 + 20v Solving -28 + 5v = 32 + 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. -28 + 5v + -20v = 32 + 20v + -20v Combine like terms: 5v + -20v = -15v -28 + -15v = 32 + 20v + -20v Combine like terms: 20v + -20v = 0 -28 + -15v = 32 + 0 -28 + -15v = 32 Add '28' to each side of the equation. -28 + 28 + -15v = 32 + 28 Combine like terms: -28 + 28 = 0 0 + -15v = 32 + 28 -15v = 32 + 28 Combine like terms: 32 + 28 = 60 -15v = 60 Divide each side by '-15'. v = -4 Simplifying v = -4
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