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Simplifying 1.4(b + 5) + -1(6.3 + 0.4b) = -7 + 2 Reorder the terms: 1.4(5 + b) + -1(6.3 + 0.4b) = -7 + 2 (5 * 1.4 + b * 1.4) + -1(6.3 + 0.4b) = -7 + 2 (7 + 1.4b) + -1(6.3 + 0.4b) = -7 + 2 7 + 1.4b + (6.3 * -1 + 0.4b * -1) = -7 + 2 7 + 1.4b + (-6.3 + -0.4b) = -7 + 2 Reorder the terms: 7 + -6.3 + 1.4b + -0.4b = -7 + 2 Combine like terms: 7 + -6.3 = 0.7 0.7 + 1.4b + -0.4b = -7 + 2 Combine like terms: 1.4b + -0.4b = 1b 0.7 + 1b = -7 + 2 Combine like terms: -7 + 2 = -5 0.7 + 1b = -5 Solving 0.7 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + 1b = -5 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 1b = -5 + -0.7 1b = -5 + -0.7 Combine like terms: -5 + -0.7 = -5.7 1b = -5.7 Divide each side by '1'. b = -5.7 Simplifying b = -5.7
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