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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 = -1v 48 + -1v = 0 Solving 48 + -1v = 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 + -1v = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1v = 0 + -48 -1v = 0 + -48 Combine like terms: 0 + -48 = -48 -1v = -48 Divide each side by '-1'. v = 48 Simplifying v = 48
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