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Simplifying 1.5(3b + -7) + 15b = 90 Reorder the terms: 1.5(-7 + 3b) + 15b = 90 (-7 * 1.5 + 3b * 1.5) + 15b = 90 (-10.5 + 4.5b) + 15b = 90 Combine like terms: 4.5b + 15b = 19.5b -10.5 + 19.5b = 90 Solving -10.5 + 19.5b = 90 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10.5' to each side of the equation. -10.5 + 10.5 + 19.5b = 90 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + 19.5b = 90 + 10.5 19.5b = 90 + 10.5 Combine like terms: 90 + 10.5 = 100.5 19.5b = 100.5 Divide each side by '19.5'. b = 5.153846154 Simplifying b = 5.153846154
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