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Simplifying 3(6b + -1) + -7(2b + 3) = 0 Reorder the terms: 3(-1 + 6b) + -7(2b + 3) = 0 (-1 * 3 + 6b * 3) + -7(2b + 3) = 0 (-3 + 18b) + -7(2b + 3) = 0 Reorder the terms: -3 + 18b + -7(3 + 2b) = 0 -3 + 18b + (3 * -7 + 2b * -7) = 0 -3 + 18b + (-21 + -14b) = 0 Reorder the terms: -3 + -21 + 18b + -14b = 0 Combine like terms: -3 + -21 = -24 -24 + 18b + -14b = 0 Combine like terms: 18b + -14b = 4b -24 + 4b = 0 Solving -24 + 4b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 4b = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 4b = 0 + 24 4b = 0 + 24 Combine like terms: 0 + 24 = 24 4b = 24 Divide each side by '4'. b = 6 Simplifying b = 6
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