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Simplifying 21 + 8(v + 3) + 3 + 7v = 0 Reorder the terms: 21 + 8(3 + v) + 3 + 7v = 0 21 + (3 * 8 + v * 8) + 3 + 7v = 0 21 + (24 + 8v) + 3 + 7v = 0 Reorder the terms: 21 + 24 + 3 + 8v + 7v = 0 Combine like terms: 21 + 24 = 45 45 + 3 + 8v + 7v = 0 Combine like terms: 45 + 3 = 48 48 + 8v + 7v = 0 Combine like terms: 8v + 7v = 15v 48 + 15v = 0 Solving 48 + 15v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 15v = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 15v = 0 + -48 15v = 0 + -48 Combine like terms: 0 + -48 = -48 15v = -48 Divide each side by '15'. v = -3.2 Simplifying v = -3.2
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