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Simplifying 56 = 0.5(b + 8) * 90 Reorder the terms: 56 = 0.5(8 + b) * 90 Reorder the terms for easier multiplication: 56 = 0.5 * 90(8 + b) Multiply 0.5 * 90 56 = 45(8 + b) 56 = (8 * 45 + b * 45) 56 = (360 + 45b) Solving 56 = 360 + 45b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45b' to each side of the equation. 56 + -45b = 360 + 45b + -45b Combine like terms: 45b + -45b = 0 56 + -45b = 360 + 0 56 + -45b = 360 Add '-56' to each side of the equation. 56 + -56 + -45b = 360 + -56 Combine like terms: 56 + -56 = 0 0 + -45b = 360 + -56 -45b = 360 + -56 Combine like terms: 360 + -56 = 304 -45b = 304 Divide each side by '-45'. b = -6.755555556 Simplifying b = -6.755555556
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