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Simplifying 5(3b + -5) = 4(6b + -2) Reorder the terms: 5(-5 + 3b) = 4(6b + -2) (-5 * 5 + 3b * 5) = 4(6b + -2) (-25 + 15b) = 4(6b + -2) Reorder the terms: -25 + 15b = 4(-2 + 6b) -25 + 15b = (-2 * 4 + 6b * 4) -25 + 15b = (-8 + 24b) Solving -25 + 15b = -8 + 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. -25 + 15b + -24b = -8 + 24b + -24b Combine like terms: 15b + -24b = -9b -25 + -9b = -8 + 24b + -24b Combine like terms: 24b + -24b = 0 -25 + -9b = -8 + 0 -25 + -9b = -8 Add '25' to each side of the equation. -25 + 25 + -9b = -8 + 25 Combine like terms: -25 + 25 = 0 0 + -9b = -8 + 25 -9b = -8 + 25 Combine like terms: -8 + 25 = 17 -9b = 17 Divide each side by '-9'. b = -1.888888889 Simplifying b = -1.888888889
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