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Simplifying 4 + -4(b + -3) = 5(2b + 10) Reorder the terms: 4 + -4(-3 + b) = 5(2b + 10) 4 + (-3 * -4 + b * -4) = 5(2b + 10) 4 + (12 + -4b) = 5(2b + 10) Combine like terms: 4 + 12 = 16 16 + -4b = 5(2b + 10) Reorder the terms: 16 + -4b = 5(10 + 2b) 16 + -4b = (10 * 5 + 2b * 5) 16 + -4b = (50 + 10b) Solving 16 + -4b = 50 + 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. 16 + -4b + -10b = 50 + 10b + -10b Combine like terms: -4b + -10b = -14b 16 + -14b = 50 + 10b + -10b Combine like terms: 10b + -10b = 0 16 + -14b = 50 + 0 16 + -14b = 50 Add '-16' to each side of the equation. 16 + -16 + -14b = 50 + -16 Combine like terms: 16 + -16 = 0 0 + -14b = 50 + -16 -14b = 50 + -16 Combine like terms: 50 + -16 = 34 -14b = 34 Divide each side by '-14'. b = -2.428571429 Simplifying b = -2.428571429
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