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Simplifying 9(2.5b + 7) = -22.5 + -5.5b Reorder the terms: 9(7 + 2.5b) = -22.5 + -5.5b (7 * 9 + 2.5b * 9) = -22.5 + -5.5b (63 + 22.5b) = -22.5 + -5.5b Solving 63 + 22.5b = -22.5 + -5.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5.5b' to each side of the equation. 63 + 22.5b + 5.5b = -22.5 + -5.5b + 5.5b Combine like terms: 22.5b + 5.5b = 28b 63 + 28b = -22.5 + -5.5b + 5.5b Combine like terms: -5.5b + 5.5b = 0.0 63 + 28b = -22.5 + 0.0 63 + 28b = -22.5 Add '-63' to each side of the equation. 63 + -63 + 28b = -22.5 + -63 Combine like terms: 63 + -63 = 0 0 + 28b = -22.5 + -63 28b = -22.5 + -63 Combine like terms: -22.5 + -63 = -85.5 28b = -85.5 Divide each side by '28'. b = -3.053571429 Simplifying b = -3.053571429
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