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Simplifying 7(b + -3) = -8b + 2 Reorder the terms: 7(-3 + b) = -8b + 2 (-3 * 7 + b * 7) = -8b + 2 (-21 + 7b) = -8b + 2 Reorder the terms: -21 + 7b = 2 + -8b Solving -21 + 7b = 2 + -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 + 7b + 8b = 2 + -8b + 8b Combine like terms: 7b + 8b = 15b -21 + 15b = 2 + -8b + 8b Combine like terms: -8b + 8b = 0 -21 + 15b = 2 + 0 -21 + 15b = 2 Add '21' to each side of the equation. -21 + 21 + 15b = 2 + 21 Combine like terms: -21 + 21 = 0 0 + 15b = 2 + 21 15b = 2 + 21 Combine like terms: 2 + 21 = 23 15b = 23 Divide each side by '15'. b = 1.533333333 Simplifying b = 1.533333333
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