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Simplifying 7 + -0.8(b + -1) = 0.9(11b + -1) Reorder the terms: 7 + -0.8(-1 + b) = 0.9(11b + -1) 7 + (-1 * -0.8 + b * -0.8) = 0.9(11b + -1) 7 + (0.8 + -0.8b) = 0.9(11b + -1) Combine like terms: 7 + 0.8 = 7.8 7.8 + -0.8b = 0.9(11b + -1) Reorder the terms: 7.8 + -0.8b = 0.9(-1 + 11b) 7.8 + -0.8b = (-1 * 0.9 + 11b * 0.9) 7.8 + -0.8b = (-0.9 + 9.9b) Solving 7.8 + -0.8b = -0.9 + 9.9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9.9b' to each side of the equation. 7.8 + -0.8b + -9.9b = -0.9 + 9.9b + -9.9b Combine like terms: -0.8b + -9.9b = -10.7b 7.8 + -10.7b = -0.9 + 9.9b + -9.9b Combine like terms: 9.9b + -9.9b = 0.0 7.8 + -10.7b = -0.9 + 0.0 7.8 + -10.7b = -0.9 Add '-7.8' to each side of the equation. 7.8 + -7.8 + -10.7b = -0.9 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + -10.7b = -0.9 + -7.8 -10.7b = -0.9 + -7.8 Combine like terms: -0.9 + -7.8 = -8.7 -10.7b = -8.7 Divide each side by '-10.7'. b = 0.8130841121 Simplifying b = 0.8130841121
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