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Simplifying 1.6(b + 3) + -1(6.2 + 0.6b) = -5 + 4 Reorder the terms: 1.6(3 + b) + -1(6.2 + 0.6b) = -5 + 4 (3 * 1.6 + b * 1.6) + -1(6.2 + 0.6b) = -5 + 4 (4.8 + 1.6b) + -1(6.2 + 0.6b) = -5 + 4 4.8 + 1.6b + (6.2 * -1 + 0.6b * -1) = -5 + 4 4.8 + 1.6b + (-6.2 + -0.6b) = -5 + 4 Reorder the terms: 4.8 + -6.2 + 1.6b + -0.6b = -5 + 4 Combine like terms: 4.8 + -6.2 = -1.4 -1.4 + 1.6b + -0.6b = -5 + 4 Combine like terms: 1.6b + -0.6b = 1b -1.4 + 1b = -5 + 4 Combine like terms: -5 + 4 = -1 -1.4 + 1b = -1 Solving -1.4 + 1b = -1 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1.4' to each side of the equation. -1.4 + 1.4 + 1b = -1 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 1b = -1 + 1.4 1b = -1 + 1.4 Combine like terms: -1 + 1.4 = 0.4 1b = 0.4 Divide each side by '1'. b = 0.4 Simplifying b = 0.4
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