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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 = -9b -2 + -9b = -12 + 15b + -15b Combine like terms: 15b + -15b = 0 -2 + -9b = -12 + 0 -2 + -9b = -12 Add '2' to each side of the equation. -2 + 2 + -9b = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -9b = -12 + 2 -9b = -12 + 2 Combine like terms: -12 + 2 = -10 -9b = -10 Divide each side by '-9'. b = 1.111111111 Simplifying b = 1.111111111
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