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Simplifying 0.8 + -4(b + -1) = 0.2 + 3(4 + -1b) Reorder the terms: 0.8 + -4(-1 + b) = 0.2 + 3(4 + -1b) 0.8 + (-1 * -4 + b * -4) = 0.2 + 3(4 + -1b) 0.8 + (4 + -4b) = 0.2 + 3(4 + -1b) Combine like terms: 0.8 + 4 = 4.8 4.8 + -4b = 0.2 + 3(4 + -1b) 4.8 + -4b = 0.2 + (4 * 3 + -1b * 3) 4.8 + -4b = 0.2 + (12 + -3b) Combine like terms: 0.2 + 12 = 12.2 4.8 + -4b = 12.2 + -3b Solving 4.8 + -4b = 12.2 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 4.8 + -4b + 3b = 12.2 + -3b + 3b Combine like terms: -4b + 3b = -1b 4.8 + -1b = 12.2 + -3b + 3b Combine like terms: -3b + 3b = 0 4.8 + -1b = 12.2 + 0 4.8 + -1b = 12.2 Add '-4.8' to each side of the equation. 4.8 + -4.8 + -1b = 12.2 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -1b = 12.2 + -4.8 -1b = 12.2 + -4.8 Combine like terms: 12.2 + -4.8 = 7.4 -1b = 7.4 Divide each side by '-1'. b = -7.4 Simplifying b = -7.4
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