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Simplifying 5b + 32 = -4(6b + -1) + b Reorder the terms: 32 + 5b = -4(6b + -1) + b Reorder the terms: 32 + 5b = -4(-1 + 6b) + b 32 + 5b = (-1 * -4 + 6b * -4) + b 32 + 5b = (4 + -24b) + b Combine like terms: -24b + b = -23b 32 + 5b = 4 + -23b Solving 32 + 5b = 4 + -23b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '23b' to each side of the equation. 32 + 5b + 23b = 4 + -23b + 23b Combine like terms: 5b + 23b = 28b 32 + 28b = 4 + -23b + 23b Combine like terms: -23b + 23b = 0 32 + 28b = 4 + 0 32 + 28b = 4 Add '-32' to each side of the equation. 32 + -32 + 28b = 4 + -32 Combine like terms: 32 + -32 = 0 0 + 28b = 4 + -32 28b = 4 + -32 Combine like terms: 4 + -32 = -28 28b = -28 Divide each side by '28'. b = -1 Simplifying b = -1
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