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Simplifying 0.2b + -1 = 0.5(b + 1.2) Reorder the terms: -1 + 0.2b = 0.5(b + 1.2) Reorder the terms: -1 + 0.2b = 0.5(1.2 + b) -1 + 0.2b = (1.2 * 0.5 + b * 0.5) -1 + 0.2b = (0.6 + 0.5b) Solving -1 + 0.2b = 0.6 + 0.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.5b' to each side of the equation. -1 + 0.2b + -0.5b = 0.6 + 0.5b + -0.5b Combine like terms: 0.2b + -0.5b = -0.3b -1 + -0.3b = 0.6 + 0.5b + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 -1 + -0.3b = 0.6 + 0.0 -1 + -0.3b = 0.6 Add '1' to each side of the equation. -1 + 1 + -0.3b = 0.6 + 1 Combine like terms: -1 + 1 = 0 0 + -0.3b = 0.6 + 1 -0.3b = 0.6 + 1 Combine like terms: 0.6 + 1 = 1.6 -0.3b = 1.6 Divide each side by '-0.3'. b = -5.333333333 Simplifying b = -5.333333333
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