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Simplifying -3(3b + 4) + (10b + -6) = 0 Reorder the terms: -3(4 + 3b) + (10b + -6) = 0 (4 * -3 + 3b * -3) + (10b + -6) = 0 (-12 + -9b) + (10b + -6) = 0 Reorder the terms: -12 + -9b + (-6 + 10b) = 0 Remove parenthesis around (-6 + 10b) -12 + -9b + -6 + 10b = 0 Reorder the terms: -12 + -6 + -9b + 10b = 0 Combine like terms: -12 + -6 = -18 -18 + -9b + 10b = 0 Combine like terms: -9b + 10b = 1b -18 + 1b = 0 Solving -18 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1b = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1b = 0 + 18 1b = 0 + 18 Combine like terms: 0 + 18 = 18 1b = 18 Divide each side by '1'. b = 18 Simplifying b = 18
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