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Simplifying 10d + -2(5b + 9) + d = 0 Reorder the terms: 10d + -2(9 + 5b) + d = 0 10d + (9 * -2 + 5b * -2) + d = 0 10d + (-18 + -10b) + d = 0 Reorder the terms: -18 + -10b + 10d + d = 0 Combine like terms: 10d + d = 11d -18 + -10b + 11d = 0 Solving -18 + -10b + 11d = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -10b + 18 + 11d = 0 + 18 Reorder the terms: -18 + 18 + -10b + 11d = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -10b + 11d = 0 + 18 -10b + 11d = 0 + 18 Combine like terms: 0 + 18 = 18 -10b + 11d = 18 Add '-11d' to each side of the equation. -10b + 11d + -11d = 18 + -11d Combine like terms: 11d + -11d = 0 -10b + 0 = 18 + -11d -10b = 18 + -11d Divide each side by '-10'. b = -1.8 + 1.1d Simplifying b = -1.8 + 1.1d
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