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Simplifying -2(3b + -1) = 15b + -12 Reorder the terms: -2(-1 + 3b) = 15b + -12 (-1 * -2 + 3b * -2) = 15b + -12 (2 + -6b) = 15b + -12 Reorder the terms: 2 + -6b = -12 + 15b Solving 2 + -6b = -12 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 2 + -6b + -15b = -12 + 15b + -15b Combine like terms: -6b + -15b = -21b 2 + -21b = -12 + 15b + -15b Combine like terms: 15b + -15b = 0 2 + -21b = -12 + 0 2 + -21b = -12 Add '-2' to each side of the equation. 2 + -2 + -21b = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -21b = -12 + -2 -21b = -12 + -2 Combine like terms: -12 + -2 = -14 -21b = -14 Divide each side by '-21'. b = 0.6666666667 Simplifying b = 0.6666666667
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