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Simplifying 90 + -1b = 1.5(b + 2) + 15 + 2b + -9 Reorder the terms: 90 + -1b = 1.5(2 + b) + 15 + 2b + -9 90 + -1b = (2 * 1.5 + b * 1.5) + 15 + 2b + -9 90 + -1b = (3 + 1.5b) + 15 + 2b + -9 Reorder the terms: 90 + -1b = 3 + 15 + -9 + 1.5b + 2b Combine like terms: 3 + 15 = 18 90 + -1b = 18 + -9 + 1.5b + 2b Combine like terms: 18 + -9 = 9 90 + -1b = 9 + 1.5b + 2b Combine like terms: 1.5b + 2b = 3.5b 90 + -1b = 9 + 3.5b Solving 90 + -1b = 9 + 3.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3.5b' to each side of the equation. 90 + -1b + -3.5b = 9 + 3.5b + -3.5b Combine like terms: -1b + -3.5b = -4.5b 90 + -4.5b = 9 + 3.5b + -3.5b Combine like terms: 3.5b + -3.5b = 0.0 90 + -4.5b = 9 + 0.0 90 + -4.5b = 9 Add '-90' to each side of the equation. 90 + -90 + -4.5b = 9 + -90 Combine like terms: 90 + -90 = 0 0 + -4.5b = 9 + -90 -4.5b = 9 + -90 Combine like terms: 9 + -90 = -81 -4.5b = -81 Divide each side by '-4.5'. b = 18 Simplifying b = 18
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