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Simplifying -6.5(7b + 4.5) = 19.5 Reorder the terms: -6.5(4.5 + 7b) = 19.5 (4.5 * -6.5 + 7b * -6.5) = 19.5 (-29.25 + -45.5b) = 19.5 Solving -29.25 + -45.5b = 19.5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '29.25' to each side of the equation. -29.25 + 29.25 + -45.5b = 19.5 + 29.25 Combine like terms: -29.25 + 29.25 = 0.00 0.00 + -45.5b = 19.5 + 29.25 -45.5b = 19.5 + 29.25 Combine like terms: 19.5 + 29.25 = 48.75 -45.5b = 48.75 Divide each side by '-45.5'. b = -1.071428571 Simplifying b = -1.071428571
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