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Simplifying 4 + -4(b + -4) = 5(2b + -3) Reorder the terms: 4 + -4(-4 + b) = 5(2b + -3) 4 + (-4 * -4 + b * -4) = 5(2b + -3) 4 + (16 + -4b) = 5(2b + -3) Combine like terms: 4 + 16 = 20 20 + -4b = 5(2b + -3) Reorder the terms: 20 + -4b = 5(-3 + 2b) 20 + -4b = (-3 * 5 + 2b * 5) 20 + -4b = (-15 + 10b) Solving 20 + -4b = -15 + 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. 20 + -4b + -10b = -15 + 10b + -10b Combine like terms: -4b + -10b = -14b 20 + -14b = -15 + 10b + -10b Combine like terms: 10b + -10b = 0 20 + -14b = -15 + 0 20 + -14b = -15 Add '-20' to each side of the equation. 20 + -20 + -14b = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -14b = -15 + -20 -14b = -15 + -20 Combine like terms: -15 + -20 = -35 -14b = -35 Divide each side by '-14'. b = 2.5 Simplifying b = 2.5
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