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Simplifying 4 + -2b = 8 + -1(4b + 7) Reorder the terms: 4 + -2b = 8 + -1(7 + 4b) 4 + -2b = 8 + (7 * -1 + 4b * -1) 4 + -2b = 8 + (-7 + -4b) Combine like terms: 8 + -7 = 1 4 + -2b = 1 + -4b Solving 4 + -2b = 1 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 4 + -2b + 4b = 1 + -4b + 4b Combine like terms: -2b + 4b = 2b 4 + 2b = 1 + -4b + 4b Combine like terms: -4b + 4b = 0 4 + 2b = 1 + 0 4 + 2b = 1 Add '-4' to each side of the equation. 4 + -4 + 2b = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 2b = 1 + -4 2b = 1 + -4 Combine like terms: 1 + -4 = -3 2b = -3 Divide each side by '2'. b = -1.5 Simplifying b = -1.5
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