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Simplifying 4(6b + -8) = 36 + 7b Reorder the terms: 4(-8 + 6b) = 36 + 7b (-8 * 4 + 6b * 4) = 36 + 7b (-32 + 24b) = 36 + 7b Solving -32 + 24b = 36 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -32 + 24b + -7b = 36 + 7b + -7b Combine like terms: 24b + -7b = 17b -32 + 17b = 36 + 7b + -7b Combine like terms: 7b + -7b = 0 -32 + 17b = 36 + 0 -32 + 17b = 36 Add '32' to each side of the equation. -32 + 32 + 17b = 36 + 32 Combine like terms: -32 + 32 = 0 0 + 17b = 36 + 32 17b = 36 + 32 Combine like terms: 36 + 32 = 68 17b = 68 Divide each side by '17'. b = 4 Simplifying b = 4
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