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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 = -8 -8 + -4b = 5(2b + 10) Reorder the terms: -8 + -4b = 5(10 + 2b) -8 + -4b = (10 * 5 + 2b * 5) -8 + -4b = (50 + 10b) Solving -8 + -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. -8 + -4b + -10b = 50 + 10b + -10b Combine like terms: -4b + -10b = -14b -8 + -14b = 50 + 10b + -10b Combine like terms: 10b + -10b = 0 -8 + -14b = 50 + 0 -8 + -14b = 50 Add '8' to each side of the equation. -8 + 8 + -14b = 50 + 8 Combine like terms: -8 + 8 = 0 0 + -14b = 50 + 8 -14b = 50 + 8 Combine like terms: 50 + 8 = 58 -14b = 58 Divide each side by '-14'. b = -4.142857143 Simplifying b = -4.142857143
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