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Simplifying -12.532 + 4.7b = -4.1(-4.4b + -2.8) Reorder the terms: -12.532 + 4.7b = -4.1(-2.8 + -4.4b) -12.532 + 4.7b = (-2.8 * -4.1 + -4.4b * -4.1) -12.532 + 4.7b = (11.48 + 18.04b) Solving -12.532 + 4.7b = 11.48 + 18.04b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18.04b' to each side of the equation. -12.532 + 4.7b + -18.04b = 11.48 + 18.04b + -18.04b Combine like terms: 4.7b + -18.04b = -13.34b -12.532 + -13.34b = 11.48 + 18.04b + -18.04b Combine like terms: 18.04b + -18.04b = 0.00 -12.532 + -13.34b = 11.48 + 0.00 -12.532 + -13.34b = 11.48 Add '12.532' to each side of the equation. -12.532 + 12.532 + -13.34b = 11.48 + 12.532 Combine like terms: -12.532 + 12.532 = 0.000 0.000 + -13.34b = 11.48 + 12.532 -13.34b = 11.48 + 12.532 Combine like terms: 11.48 + 12.532 = 24.012 -13.34b = 24.012 Divide each side by '-13.34'. b = -1.8 Simplifying b = -1.8
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