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Simplifying 4(2b + -3) = 2(5b + -1) Reorder the terms: 4(-3 + 2b) = 2(5b + -1) (-3 * 4 + 2b * 4) = 2(5b + -1) (-12 + 8b) = 2(5b + -1) Reorder the terms: -12 + 8b = 2(-1 + 5b) -12 + 8b = (-1 * 2 + 5b * 2) -12 + 8b = (-2 + 10b) Solving -12 + 8b = -2 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -12 + 8b + -10b = -2 + 10b + -10b Combine like terms: 8b + -10b = -2b -12 + -2b = -2 + 10b + -10b Combine like terms: 10b + -10b = 0 -12 + -2b = -2 + 0 -12 + -2b = -2 Add '12' to each side of the equation. -12 + 12 + -2b = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -2b = -2 + 12 -2b = -2 + 12 Combine like terms: -2 + 12 = 10 -2b = 10 Divide each side by '-2'. b = -5 Simplifying b = -5
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