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Simplifying 7.5(6b + -18) = 99b + -9b Reorder the terms: 7.5(-18 + 6b) = 99b + -9b (-18 * 7.5 + 6b * 7.5) = 99b + -9b (-135 + 45b) = 99b + -9b Combine like terms: 99b + -9b = 90b -135 + 45b = 90b Solving -135 + 45b = 90b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-90b' to each side of the equation. -135 + 45b + -90b = 90b + -90b Combine like terms: 45b + -90b = -45b -135 + -45b = 90b + -90b Combine like terms: 90b + -90b = 0 -135 + -45b = 0 Add '135' to each side of the equation. -135 + 135 + -45b = 0 + 135 Combine like terms: -135 + 135 = 0 0 + -45b = 0 + 135 -45b = 0 + 135 Combine like terms: 0 + 135 = 135 -45b = 135 Divide each side by '-45'. b = -3 Simplifying b = -3
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