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Simplifying 2(2b + -4) + -3b = 8 + -4(2 + -5b) Reorder the terms: 2(-4 + 2b) + -3b = 8 + -4(2 + -5b) (-4 * 2 + 2b * 2) + -3b = 8 + -4(2 + -5b) (-8 + 4b) + -3b = 8 + -4(2 + -5b) Combine like terms: 4b + -3b = 1b -8 + 1b = 8 + -4(2 + -5b) -8 + 1b = 8 + (2 * -4 + -5b * -4) -8 + 1b = 8 + (-8 + 20b) Combine like terms: 8 + -8 = 0 -8 + 1b = 0 + 20b -8 + 1b = 20b Solving -8 + 1b = 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. -8 + 1b + -20b = 20b + -20b Combine like terms: 1b + -20b = -19b -8 + -19b = 20b + -20b Combine like terms: 20b + -20b = 0 -8 + -19b = 0 Add '8' to each side of the equation. -8 + 8 + -19b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -19b = 0 + 8 -19b = 0 + 8 Combine like terms: 0 + 8 = 8 -19b = 8 Divide each side by '-19'. b = -0.4210526316 Simplifying b = -0.4210526316
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