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Simplifying 2v + -2(2b + -3) = 10 Reorder the terms: 2v + -2(-3 + 2b) = 10 2v + (-3 * -2 + 2b * -2) = 10 2v + (6 + -4b) = 10 Reorder the terms: 6 + -4b + 2v = 10 Solving 6 + -4b + 2v = 10 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -4b + -6 + 2v = 10 + -6 Reorder the terms: 6 + -6 + -4b + 2v = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -4b + 2v = 10 + -6 -4b + 2v = 10 + -6 Combine like terms: 10 + -6 = 4 -4b + 2v = 4 Add '-2v' to each side of the equation. -4b + 2v + -2v = 4 + -2v Combine like terms: 2v + -2v = 0 -4b + 0 = 4 + -2v -4b = 4 + -2v Divide each side by '-4'. b = -1 + 0.5v Simplifying b = -1 + 0.5v
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