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Simplifying 1.5(b + 2) + 15(2b + -9) + b = 90 Reorder the terms: 1.5(2 + b) + 15(2b + -9) + b = 90 (2 * 1.5 + b * 1.5) + 15(2b + -9) + b = 90 (3 + 1.5b) + 15(2b + -9) + b = 90 Reorder the terms: 3 + 1.5b + 15(-9 + 2b) + b = 90 3 + 1.5b + (-9 * 15 + 2b * 15) + b = 90 3 + 1.5b + (-135 + 30b) + b = 90 Reorder the terms: 3 + -135 + 1.5b + 30b + b = 90 Combine like terms: 3 + -135 = -132 -132 + 1.5b + 30b + b = 90 Combine like terms: 1.5b + 30b = 31.5b -132 + 31.5b + b = 90 Combine like terms: 31.5b + b = 32.5b -132 + 32.5b = 90 Solving -132 + 32.5b = 90 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '132' to each side of the equation. -132 + 132 + 32.5b = 90 + 132 Combine like terms: -132 + 132 = 0 0 + 32.5b = 90 + 132 32.5b = 90 + 132 Combine like terms: 90 + 132 = 222 32.5b = 222 Divide each side by '32.5'. b = 6.830769231 Simplifying b = 6.830769231
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