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Simplifying 0.75(b + -13) = -2(9 + b) Reorder the terms: 0.75(-13 + b) = -2(9 + b) (-13 * 0.75 + b * 0.75) = -2(9 + b) (-9.75 + 0.75b) = -2(9 + b) -9.75 + 0.75b = (9 * -2 + b * -2) -9.75 + 0.75b = (-18 + -2b) Solving -9.75 + 0.75b = -18 + -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. -9.75 + 0.75b + 2b = -18 + -2b + 2b Combine like terms: 0.75b + 2b = 2.75b -9.75 + 2.75b = -18 + -2b + 2b Combine like terms: -2b + 2b = 0 -9.75 + 2.75b = -18 + 0 -9.75 + 2.75b = -18 Add '9.75' to each side of the equation. -9.75 + 9.75 + 2.75b = -18 + 9.75 Combine like terms: -9.75 + 9.75 = 0.00 0.00 + 2.75b = -18 + 9.75 2.75b = -18 + 9.75 Combine like terms: -18 + 9.75 = -8.25 2.75b = -8.25 Divide each side by '2.75'. b = -3 Simplifying b = -3
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