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Simplifying -2(-3b + 14) + -3(-5 + b) = 12 Reorder the terms: -2(14 + -3b) + -3(-5 + b) = 12 (14 * -2 + -3b * -2) + -3(-5 + b) = 12 (-28 + 6b) + -3(-5 + b) = 12 -28 + 6b + (-5 * -3 + b * -3) = 12 -28 + 6b + (15 + -3b) = 12 Reorder the terms: -28 + 15 + 6b + -3b = 12 Combine like terms: -28 + 15 = -13 -13 + 6b + -3b = 12 Combine like terms: 6b + -3b = 3b -13 + 3b = 12 Solving -13 + 3b = 12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3b = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 3b = 12 + 13 3b = 12 + 13 Combine like terms: 12 + 13 = 25 3b = 25 Divide each side by '3'. b = 8.333333333 Simplifying b = 8.333333333
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