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Simplifying 14(b + -2) + -7(p + 8) = 15v + -15v Reorder the terms: 14(-2 + b) + -7(p + 8) = 15v + -15v (-2 * 14 + b * 14) + -7(p + 8) = 15v + -15v (-28 + 14b) + -7(p + 8) = 15v + -15v Reorder the terms: -28 + 14b + -7(8 + p) = 15v + -15v -28 + 14b + (8 * -7 + p * -7) = 15v + -15v -28 + 14b + (-56 + -7p) = 15v + -15v Reorder the terms: -28 + -56 + 14b + -7p = 15v + -15v Combine like terms: -28 + -56 = -84 -84 + 14b + -7p = 15v + -15v Combine like terms: 15v + -15v = 0 -84 + 14b + -7p = 0 Solving -84 + 14b + -7p = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 14b + 84 + -7p = 0 + 84 Reorder the terms: -84 + 84 + 14b + -7p = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 14b + -7p = 0 + 84 14b + -7p = 0 + 84 Combine like terms: 0 + 84 = 84 14b + -7p = 84 Add '7p' to each side of the equation. 14b + -7p + 7p = 84 + 7p Combine like terms: -7p + 7p = 0 14b + 0 = 84 + 7p 14b = 84 + 7p Divide each side by '14'. b = 6 + 0.5p Simplifying b = 6 + 0.5p
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