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Simplifying 4(2 + -3b) = 6b + -4(b + 5) (2 * 4 + -3b * 4) = 6b + -4(b + 5) (8 + -12b) = 6b + -4(b + 5) Reorder the terms: 8 + -12b = 6b + -4(5 + b) 8 + -12b = 6b + (5 * -4 + b * -4) 8 + -12b = 6b + (-20 + -4b) Reorder the terms: 8 + -12b = -20 + 6b + -4b Combine like terms: 6b + -4b = 2b 8 + -12b = -20 + 2b Solving 8 + -12b = -20 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 8 + -12b + -2b = -20 + 2b + -2b Combine like terms: -12b + -2b = -14b 8 + -14b = -20 + 2b + -2b Combine like terms: 2b + -2b = 0 8 + -14b = -20 + 0 8 + -14b = -20 Add '-8' to each side of the equation. 8 + -8 + -14b = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -14b = -20 + -8 -14b = -20 + -8 Combine like terms: -20 + -8 = -28 -14b = -28 Divide each side by '-14'. b = 2 Simplifying b = 2
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