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Simplifying -15.11 + 2(19.5b + -17.54) = -3(-15.4b + -17.83) Reorder the terms: -15.11 + 2(-17.54 + 19.5b) = -3(-15.4b + -17.83) -15.11 + (-17.54 * 2 + 19.5b * 2) = -3(-15.4b + -17.83) -15.11 + (-35.08 + 39b) = -3(-15.4b + -17.83) Combine like terms: -15.11 + -35.08 = -50.19 -50.19 + 39b = -3(-15.4b + -17.83) Reorder the terms: -50.19 + 39b = -3(-17.83 + -15.4b) -50.19 + 39b = (-17.83 * -3 + -15.4b * -3) -50.19 + 39b = (53.49 + 46.2b) Solving -50.19 + 39b = 53.49 + 46.2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-46.2b' to each side of the equation. -50.19 + 39b + -46.2b = 53.49 + 46.2b + -46.2b Combine like terms: 39b + -46.2b = -7.2b -50.19 + -7.2b = 53.49 + 46.2b + -46.2b Combine like terms: 46.2b + -46.2b = 0.0 -50.19 + -7.2b = 53.49 + 0.0 -50.19 + -7.2b = 53.49 Add '50.19' to each side of the equation. -50.19 + 50.19 + -7.2b = 53.49 + 50.19 Combine like terms: -50.19 + 50.19 = 0.00 0.00 + -7.2b = 53.49 + 50.19 -7.2b = 53.49 + 50.19 Combine like terms: 53.49 + 50.19 = 103.68 -7.2b = 103.68 Divide each side by '-7.2'. b = -14.4 Simplifying b = -14.4
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