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Simplifying 4(2b + -3) = 3(5b + -4) Reorder the terms: 4(-3 + 2b) = 3(5b + -4) (-3 * 4 + 2b * 4) = 3(5b + -4) (-12 + 8b) = 3(5b + -4) Reorder the terms: -12 + 8b = 3(-4 + 5b) -12 + 8b = (-4 * 3 + 5b * 3) -12 + 8b = (-12 + 15b) Add '12' to each side of the equation. -12 + 12 + 8b = -12 + 12 + 15b Combine like terms: -12 + 12 = 0 0 + 8b = -12 + 12 + 15b 8b = -12 + 12 + 15b Combine like terms: -12 + 12 = 0 8b = 0 + 15b 8b = 15b Solving 8b = 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 8b + -15b = 15b + -15b Combine like terms: 8b + -15b = -7b -7b = 15b + -15b Combine like terms: 15b + -15b = 0 -7b = 0 Divide each side by '-7'. b = 0 Simplifying b = 0
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