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Simplifying 0.2(50 + -10b) + 2 = 0.333(9b + -30) + -8 (50 * 0.2 + -10b * 0.2) + 2 = 0.333(9b + -30) + -8 (10 + -2b) + 2 = 0.333(9b + -30) + -8 Reorder the terms: 10 + 2 + -2b = 0.333(9b + -30) + -8 Combine like terms: 10 + 2 = 12 12 + -2b = 0.333(9b + -30) + -8 Reorder the terms: 12 + -2b = 0.333(-30 + 9b) + -8 12 + -2b = (-30 * 0.333 + 9b * 0.333) + -8 12 + -2b = (-9.99 + 2.997b) + -8 Reorder the terms: 12 + -2b = -9.99 + -8 + 2.997b Combine like terms: -9.99 + -8 = -17.99 12 + -2b = -17.99 + 2.997b Solving 12 + -2b = -17.99 + 2.997b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2.997b' to each side of the equation. 12 + -2b + -2.997b = -17.99 + 2.997b + -2.997b Combine like terms: -2b + -2.997b = -4.997b 12 + -4.997b = -17.99 + 2.997b + -2.997b Combine like terms: 2.997b + -2.997b = 0.000 12 + -4.997b = -17.99 + 0.000 12 + -4.997b = -17.99 Add '-12' to each side of the equation. 12 + -12 + -4.997b = -17.99 + -12 Combine like terms: 12 + -12 = 0 0 + -4.997b = -17.99 + -12 -4.997b = -17.99 + -12 Combine like terms: -17.99 + -12 = -29.99 -4.997b = -29.99 Divide each side by '-4.997'. b = 6.001600961 Simplifying b = 6.001600961
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