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Simplifying 8(6b + -4) = 10 + 6b Reorder the terms: 8(-4 + 6b) = 10 + 6b (-4 * 8 + 6b * 8) = 10 + 6b (-32 + 48b) = 10 + 6b Solving -32 + 48b = 10 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -32 + 48b + -6b = 10 + 6b + -6b Combine like terms: 48b + -6b = 42b -32 + 42b = 10 + 6b + -6b Combine like terms: 6b + -6b = 0 -32 + 42b = 10 + 0 -32 + 42b = 10 Add '32' to each side of the equation. -32 + 32 + 42b = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 42b = 10 + 32 42b = 10 + 32 Combine like terms: 10 + 32 = 42 42b = 42 Divide each side by '42'. b = 1 Simplifying b = 1
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