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Simplifying -3 + -3(5b + -8) = (-2b + 2) Reorder the terms: -3 + -3(-8 + 5b) = (-2b + 2) -3 + (-8 * -3 + 5b * -3) = (-2b + 2) -3 + (24 + -15b) = (-2b + 2) Combine like terms: -3 + 24 = 21 21 + -15b = (-2b + 2) Reorder the terms: 21 + -15b = (2 + -2b) Remove parenthesis around (2 + -2b) 21 + -15b = 2 + -2b Solving 21 + -15b = 2 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 21 + -15b + 2b = 2 + -2b + 2b Combine like terms: -15b + 2b = -13b 21 + -13b = 2 + -2b + 2b Combine like terms: -2b + 2b = 0 21 + -13b = 2 + 0 21 + -13b = 2 Add '-21' to each side of the equation. 21 + -21 + -13b = 2 + -21 Combine like terms: 21 + -21 = 0 0 + -13b = 2 + -21 -13b = 2 + -21 Combine like terms: 2 + -21 = -19 -13b = -19 Divide each side by '-13'. b = 1.461538462 Simplifying b = 1.461538462
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