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Simplifying 15(b + 2) = 90(2b + -9) + -1b Reorder the terms: 15(2 + b) = 90(2b + -9) + -1b (2 * 15 + b * 15) = 90(2b + -9) + -1b (30 + 15b) = 90(2b + -9) + -1b Reorder the terms: 30 + 15b = 90(-9 + 2b) + -1b 30 + 15b = (-9 * 90 + 2b * 90) + -1b 30 + 15b = (-810 + 180b) + -1b Combine like terms: 180b + -1b = 179b 30 + 15b = -810 + 179b Solving 30 + 15b = -810 + 179b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-179b' to each side of the equation. 30 + 15b + -179b = -810 + 179b + -179b Combine like terms: 15b + -179b = -164b 30 + -164b = -810 + 179b + -179b Combine like terms: 179b + -179b = 0 30 + -164b = -810 + 0 30 + -164b = -810 Add '-30' to each side of the equation. 30 + -30 + -164b = -810 + -30 Combine like terms: 30 + -30 = 0 0 + -164b = -810 + -30 -164b = -810 + -30 Combine like terms: -810 + -30 = -840 -164b = -840 Divide each side by '-164'. b = 5.12195122 Simplifying b = 5.12195122
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