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Simplifying 4 + -2b = -8(4b + 7) Reorder the terms: 4 + -2b = -8(7 + 4b) 4 + -2b = (7 * -8 + 4b * -8) 4 + -2b = (-56 + -32b) Solving 4 + -2b = -56 + -32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32b' to each side of the equation. 4 + -2b + 32b = -56 + -32b + 32b Combine like terms: -2b + 32b = 30b 4 + 30b = -56 + -32b + 32b Combine like terms: -32b + 32b = 0 4 + 30b = -56 + 0 4 + 30b = -56 Add '-4' to each side of the equation. 4 + -4 + 30b = -56 + -4 Combine like terms: 4 + -4 = 0 0 + 30b = -56 + -4 30b = -56 + -4 Combine like terms: -56 + -4 = -60 30b = -60 Divide each side by '30'. b = -2 Simplifying b = -2
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