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Simplifying 0.3(b + -2) + 0.7b = 1.4 Reorder the terms: 0.3(-2 + b) + 0.7b = 1.4 (-2 * 0.3 + b * 0.3) + 0.7b = 1.4 (-0.6 + 0.3b) + 0.7b = 1.4 Combine like terms: 0.3b + 0.7b = 1b -0.6 + 1b = 1.4 Solving -0.6 + 1b = 1.4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + 1b = 1.4 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 1b = 1.4 + 0.6 1b = 1.4 + 0.6 Combine like terms: 1.4 + 0.6 = 2 1b = 2 Divide each side by '1'. b = 2 Simplifying b = 2
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