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Simplifying 90 + -1.5(b + 2) + -15 + -2b + -9 = b Reorder the terms: 90 + -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 Reorder the terms: 90 + -3 + -15 + -9 + -1.5b + -2b = b Combine like terms: 90 + -3 = 87 87 + -15 + -9 + -1.5b + -2b = b Combine like terms: 87 + -15 = 72 72 + -9 + -1.5b + -2b = b Combine like terms: 72 + -9 = 63 63 + -1.5b + -2b = b Combine like terms: -1.5b + -2b = -3.5b 63 + -3.5b = b Solving 63 + -3.5b = b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 63 + -3.5b + -1b = b + -1b Combine like terms: -3.5b + -1b = -4.5b 63 + -4.5b = b + -1b Combine like terms: b + -1b = 0 63 + -4.5b = 0 Add '-63' to each side of the equation. 63 + -63 + -4.5b = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -4.5b = 0 + -63 -4.5b = 0 + -63 Combine like terms: 0 + -63 = -63 -4.5b = -63 Divide each side by '-4.5'. b = 14 Simplifying b = 14
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