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Simplifying 8b + 3 + -10v = -2(b + -2) + 3 Reorder the terms: 3 + 8b + -10v = -2(b + -2) + 3 Reorder the terms: 3 + 8b + -10v = -2(-2 + b) + 3 3 + 8b + -10v = (-2 * -2 + b * -2) + 3 3 + 8b + -10v = (4 + -2b) + 3 Reorder the terms: 3 + 8b + -10v = 4 + 3 + -2b Combine like terms: 4 + 3 = 7 3 + 8b + -10v = 7 + -2b Solving 3 + 8b + -10v = 7 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 3 + 8b + 2b + -10v = 7 + -2b + 2b Combine like terms: 8b + 2b = 10b 3 + 10b + -10v = 7 + -2b + 2b Combine like terms: -2b + 2b = 0 3 + 10b + -10v = 7 + 0 3 + 10b + -10v = 7 Add '-3' to each side of the equation. 3 + 10b + -3 + -10v = 7 + -3 Reorder the terms: 3 + -3 + 10b + -10v = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 10b + -10v = 7 + -3 10b + -10v = 7 + -3 Combine like terms: 7 + -3 = 4 10b + -10v = 4 Add '10v' to each side of the equation. 10b + -10v + 10v = 4 + 10v Combine like terms: -10v + 10v = 0 10b + 0 = 4 + 10v 10b = 4 + 10v Divide each side by '10'. b = 0.4 + v Simplifying b = 0.4 + v
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