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Simplifying (5b + -8) + -3(3b + -5) = 0 Reorder the terms: (-8 + 5b) + -3(3b + -5) = 0 Remove parenthesis around (-8 + 5b) -8 + 5b + -3(3b + -5) = 0 Reorder the terms: -8 + 5b + -3(-5 + 3b) = 0 -8 + 5b + (-5 * -3 + 3b * -3) = 0 -8 + 5b + (15 + -9b) = 0 Reorder the terms: -8 + 15 + 5b + -9b = 0 Combine like terms: -8 + 15 = 7 7 + 5b + -9b = 0 Combine like terms: 5b + -9b = -4b 7 + -4b = 0 Solving 7 + -4b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4b = 0 + -7 -4b = 0 + -7 Combine like terms: 0 + -7 = -7 -4b = -7 Divide each side by '-4'. b = 1.75 Simplifying b = 1.75
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