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Simplifying 1.2(b + 4) + -1(5.6 + 0.2b) = -9 + 5 Reorder the terms: 1.2(4 + b) + -1(5.6 + 0.2b) = -9 + 5 (4 * 1.2 + b * 1.2) + -1(5.6 + 0.2b) = -9 + 5 (4.8 + 1.2b) + -1(5.6 + 0.2b) = -9 + 5 4.8 + 1.2b + (5.6 * -1 + 0.2b * -1) = -9 + 5 4.8 + 1.2b + (-5.6 + -0.2b) = -9 + 5 Reorder the terms: 4.8 + -5.6 + 1.2b + -0.2b = -9 + 5 Combine like terms: 4.8 + -5.6 = -0.8 -0.8 + 1.2b + -0.2b = -9 + 5 Combine like terms: 1.2b + -0.2b = 1b -0.8 + 1b = -9 + 5 Combine like terms: -9 + 5 = -4 -0.8 + 1b = -4 Solving -0.8 + 1b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.8 + 1b = -4 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 1b = -4 + 0.8 1b = -4 + 0.8 Combine like terms: -4 + 0.8 = -3.2 1b = -3.2 Divide each side by '1'. b = -3.2 Simplifying b = -3.2
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