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Simplifying 1 + 3(b + -8) = -35 + -1b Reorder the terms: 1 + 3(-8 + b) = -35 + -1b 1 + (-8 * 3 + b * 3) = -35 + -1b 1 + (-24 + 3b) = -35 + -1b Combine like terms: 1 + -24 = -23 -23 + 3b = -35 + -1b Solving -23 + 3b = -35 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -23 + 3b + b = -35 + -1b + b Combine like terms: 3b + b = 4b -23 + 4b = -35 + -1b + b Combine like terms: -1b + b = 0 -23 + 4b = -35 + 0 -23 + 4b = -35 Add '23' to each side of the equation. -23 + 23 + 4b = -35 + 23 Combine like terms: -23 + 23 = 0 0 + 4b = -35 + 23 4b = -35 + 23 Combine like terms: -35 + 23 = -12 4b = -12 Divide each side by '4'. b = -3 Simplifying b = -3
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