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Simplifying -32 + -5b = -1b + -2(6b + 4) Reorder the terms: -32 + -5b = -1b + -2(4 + 6b) -32 + -5b = -1b + (4 * -2 + 6b * -2) -32 + -5b = -1b + (-8 + -12b) Reorder the terms: -32 + -5b = -8 + -1b + -12b Combine like terms: -1b + -12b = -13b -32 + -5b = -8 + -13b Solving -32 + -5b = -8 + -13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13b' to each side of the equation. -32 + -5b + 13b = -8 + -13b + 13b Combine like terms: -5b + 13b = 8b -32 + 8b = -8 + -13b + 13b Combine like terms: -13b + 13b = 0 -32 + 8b = -8 + 0 -32 + 8b = -8 Add '32' to each side of the equation. -32 + 32 + 8b = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 8b = -8 + 32 8b = -8 + 32 Combine like terms: -8 + 32 = 24 8b = 24 Divide each side by '8'. b = 3 Simplifying b = 3
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