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Simplifying 5(2b + -4) = 4(5b + -3) Reorder the terms: 5(-4 + 2b) = 4(5b + -3) (-4 * 5 + 2b * 5) = 4(5b + -3) (-20 + 10b) = 4(5b + -3) Reorder the terms: -20 + 10b = 4(-3 + 5b) -20 + 10b = (-3 * 4 + 5b * 4) -20 + 10b = (-12 + 20b) Solving -20 + 10b = -12 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. -20 + 10b + -20b = -12 + 20b + -20b Combine like terms: 10b + -20b = -10b -20 + -10b = -12 + 20b + -20b Combine like terms: 20b + -20b = 0 -20 + -10b = -12 + 0 -20 + -10b = -12 Add '20' to each side of the equation. -20 + 20 + -10b = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -10b = -12 + 20 -10b = -12 + 20 Combine like terms: -12 + 20 = 8 -10b = 8 Divide each side by '-10'. b = -0.8 Simplifying b = -0.8
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