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Simplifying (2b + 5) + -1(8b + 6) + 3(v + -2) = 0 Reorder the terms: (5 + 2b) + -1(8b + 6) + 3(v + -2) = 0 Remove parenthesis around (5 + 2b) 5 + 2b + -1(8b + 6) + 3(v + -2) = 0 Reorder the terms: 5 + 2b + -1(6 + 8b) + 3(v + -2) = 0 5 + 2b + (6 * -1 + 8b * -1) + 3(v + -2) = 0 5 + 2b + (-6 + -8b) + 3(v + -2) = 0 Reorder the terms: 5 + 2b + -6 + -8b + 3(-2 + v) = 0 5 + 2b + -6 + -8b + (-2 * 3 + v * 3) = 0 5 + 2b + -6 + -8b + (-6 + 3v) = 0 Reorder the terms: 5 + -6 + -6 + 2b + -8b + 3v = 0 Combine like terms: 5 + -6 = -1 -1 + -6 + 2b + -8b + 3v = 0 Combine like terms: -1 + -6 = -7 -7 + 2b + -8b + 3v = 0 Combine like terms: 2b + -8b = -6b -7 + -6b + 3v = 0 Solving -7 + -6b + 3v = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -6b + 7 + 3v = 0 + 7 Reorder the terms: -7 + 7 + -6b + 3v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6b + 3v = 0 + 7 -6b + 3v = 0 + 7 Combine like terms: 0 + 7 = 7 -6b + 3v = 7 Add '-3v' to each side of the equation. -6b + 3v + -3v = 7 + -3v Combine like terms: 3v + -3v = 0 -6b + 0 = 7 + -3v -6b = 7 + -3v Divide each side by '-6'. b = -1.166666667 + 0.5v Simplifying b = -1.166666667 + 0.5v
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