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Simplifying 5b + 6 + -6d + 2 = 19 Reorder the terms: 6 + 2 + 5b + -6d = 19 Combine like terms: 6 + 2 = 8 8 + 5b + -6d = 19 Solving 8 + 5b + -6d = 19 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 5b + -8 + -6d = 19 + -8 Reorder the terms: 8 + -8 + 5b + -6d = 19 + -8 Combine like terms: 8 + -8 = 0 0 + 5b + -6d = 19 + -8 5b + -6d = 19 + -8 Combine like terms: 19 + -8 = 11 5b + -6d = 11 Add '6d' to each side of the equation. 5b + -6d + 6d = 11 + 6d Combine like terms: -6d + 6d = 0 5b + 0 = 11 + 6d 5b = 11 + 6d Divide each side by '5'. b = 2.2 + 1.2d Simplifying b = 2.2 + 1.2d
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