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Simplifying 3(2b + -5) + -2(5b + -1) = 0 Reorder the terms: 3(-5 + 2b) + -2(5b + -1) = 0 (-5 * 3 + 2b * 3) + -2(5b + -1) = 0 (-15 + 6b) + -2(5b + -1) = 0 Reorder the terms: -15 + 6b + -2(-1 + 5b) = 0 -15 + 6b + (-1 * -2 + 5b * -2) = 0 -15 + 6b + (2 + -10b) = 0 Reorder the terms: -15 + 2 + 6b + -10b = 0 Combine like terms: -15 + 2 = -13 -13 + 6b + -10b = 0 Combine like terms: 6b + -10b = -4b -13 + -4b = 0 Solving -13 + -4b = 0 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 + -4b = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -4b = 0 + 13 -4b = 0 + 13 Combine like terms: 0 + 13 = 13 -4b = 13 Divide each side by '-4'. b = -3.25 Simplifying b = -3.25
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