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Simplifying -1b + -32 = -4(b + 7) + b Reorder the terms: -32 + -1b = -4(b + 7) + b Reorder the terms: -32 + -1b = -4(7 + b) + b -32 + -1b = (7 * -4 + b * -4) + b -32 + -1b = (-28 + -4b) + b Combine like terms: -4b + b = -3b -32 + -1b = -28 + -3b Solving -32 + -1b = -28 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -32 + -1b + 3b = -28 + -3b + 3b Combine like terms: -1b + 3b = 2b -32 + 2b = -28 + -3b + 3b Combine like terms: -3b + 3b = 0 -32 + 2b = -28 + 0 -32 + 2b = -28 Add '32' to each side of the equation. -32 + 32 + 2b = -28 + 32 Combine like terms: -32 + 32 = 0 0 + 2b = -28 + 32 2b = -28 + 32 Combine like terms: -28 + 32 = 4 2b = 4 Divide each side by '2'. b = 2 Simplifying b = 2
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