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Simplifying 4(v + -2) + 6v + -8 = 21 Reorder the terms: 4(-2 + v) + 6v + -8 = 21 (-2 * 4 + v * 4) + 6v + -8 = 21 (-8 + 4v) + 6v + -8 = 21 Reorder the terms: -8 + -8 + 4v + 6v = 21 Combine like terms: -8 + -8 = -16 -16 + 4v + 6v = 21 Combine like terms: 4v + 6v = 10v -16 + 10v = 21 Solving -16 + 10v = 21 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 10v = 21 + 16 Combine like terms: -16 + 16 = 0 0 + 10v = 21 + 16 10v = 21 + 16 Combine like terms: 21 + 16 = 37 10v = 37 Divide each side by '10'. v = 3.7 Simplifying v = 3.7
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