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Simplifying 28 + -1b = 3b + -8(b + -3) Reorder the terms: 28 + -1b = 3b + -8(-3 + b) 28 + -1b = 3b + (-3 * -8 + b * -8) 28 + -1b = 3b + (24 + -8b) Reorder the terms: 28 + -1b = 24 + 3b + -8b Combine like terms: 3b + -8b = -5b 28 + -1b = 24 + -5b Solving 28 + -1b = 24 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 28 + -1b + 5b = 24 + -5b + 5b Combine like terms: -1b + 5b = 4b 28 + 4b = 24 + -5b + 5b Combine like terms: -5b + 5b = 0 28 + 4b = 24 + 0 28 + 4b = 24 Add '-28' to each side of the equation. 28 + -28 + 4b = 24 + -28 Combine like terms: 28 + -28 = 0 0 + 4b = 24 + -28 4b = 24 + -28 Combine like terms: 24 + -28 = -4 4b = -4 Divide each side by '4'. b = -1 Simplifying b = -1
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