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Simplifying -7(2b + 3) + (5b + -3) = 0 Reorder the terms: -7(3 + 2b) + (5b + -3) = 0 (3 * -7 + 2b * -7) + (5b + -3) = 0 (-21 + -14b) + (5b + -3) = 0 Reorder the terms: -21 + -14b + (-3 + 5b) = 0 Remove parenthesis around (-3 + 5b) -21 + -14b + -3 + 5b = 0 Reorder the terms: -21 + -3 + -14b + 5b = 0 Combine like terms: -21 + -3 = -24 -24 + -14b + 5b = 0 Combine like terms: -14b + 5b = -9b -24 + -9b = 0 Solving -24 + -9b = 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 + -9b = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -9b = 0 + 24 -9b = 0 + 24 Combine like terms: 0 + 24 = 24 -9b = 24 Divide each side by '-9'. b = -2.666666667 Simplifying b = -2.666666667
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