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Simplifying 3b + -8 = 10 + 4(4 + -8b) Reorder the terms: -8 + 3b = 10 + 4(4 + -8b) -8 + 3b = 10 + (4 * 4 + -8b * 4) -8 + 3b = 10 + (16 + -32b) Combine like terms: 10 + 16 = 26 -8 + 3b = 26 + -32b Solving -8 + 3b = 26 + -32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32b' to each side of the equation. -8 + 3b + 32b = 26 + -32b + 32b Combine like terms: 3b + 32b = 35b -8 + 35b = 26 + -32b + 32b Combine like terms: -32b + 32b = 0 -8 + 35b = 26 + 0 -8 + 35b = 26 Add '8' to each side of the equation. -8 + 8 + 35b = 26 + 8 Combine like terms: -8 + 8 = 0 0 + 35b = 26 + 8 35b = 26 + 8 Combine like terms: 26 + 8 = 34 35b = 34 Divide each side by '35'. b = 0.9714285714 Simplifying b = 0.9714285714
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