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Simplifying 7(3b + -3) = 8b + 31 Reorder the terms: 7(-3 + 3b) = 8b + 31 (-3 * 7 + 3b * 7) = 8b + 31 (-21 + 21b) = 8b + 31 Reorder the terms: -21 + 21b = 31 + 8b Solving -21 + 21b = 31 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -21 + 21b + -8b = 31 + 8b + -8b Combine like terms: 21b + -8b = 13b -21 + 13b = 31 + 8b + -8b Combine like terms: 8b + -8b = 0 -21 + 13b = 31 + 0 -21 + 13b = 31 Add '21' to each side of the equation. -21 + 21 + 13b = 31 + 21 Combine like terms: -21 + 21 = 0 0 + 13b = 31 + 21 13b = 31 + 21 Combine like terms: 31 + 21 = 52 13b = 52 Divide each side by '13'. b = 4 Simplifying b = 4
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