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Simplifying 19.5 = 3.3(b + -17) + 9.6 Reorder the terms: 19.5 = 3.3(-17 + b) + 9.6 19.5 = (-17 * 3.3 + b * 3.3) + 9.6 19.5 = (-56.1 + 3.3b) + 9.6 Reorder the terms: 19.5 = -56.1 + 9.6 + 3.3b Combine like terms: -56.1 + 9.6 = -46.5 19.5 = -46.5 + 3.3b Solving 19.5 = -46.5 + 3.3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3.3b' to each side of the equation. 19.5 + -3.3b = -46.5 + 3.3b + -3.3b Combine like terms: 3.3b + -3.3b = 0.0 19.5 + -3.3b = -46.5 + 0.0 19.5 + -3.3b = -46.5 Add '-19.5' to each side of the equation. 19.5 + -19.5 + -3.3b = -46.5 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + -3.3b = -46.5 + -19.5 -3.3b = -46.5 + -19.5 Combine like terms: -46.5 + -19.5 = -66 -3.3b = -66 Divide each side by '-3.3'. b = 20 Simplifying b = 20
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