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Simplifying -32 + -2b = 6(5b + 4) + 8 Reorder the terms: -32 + -2b = 6(4 + 5b) + 8 -32 + -2b = (4 * 6 + 5b * 6) + 8 -32 + -2b = (24 + 30b) + 8 Reorder the terms: -32 + -2b = 24 + 8 + 30b Combine like terms: 24 + 8 = 32 -32 + -2b = 32 + 30b Solving -32 + -2b = 32 + 30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30b' to each side of the equation. -32 + -2b + -30b = 32 + 30b + -30b Combine like terms: -2b + -30b = -32b -32 + -32b = 32 + 30b + -30b Combine like terms: 30b + -30b = 0 -32 + -32b = 32 + 0 -32 + -32b = 32 Add '32' to each side of the equation. -32 + 32 + -32b = 32 + 32 Combine like terms: -32 + 32 = 0 0 + -32b = 32 + 32 -32b = 32 + 32 Combine like terms: 32 + 32 = 64 -32b = 64 Divide each side by '-32'. b = -2 Simplifying b = -2
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