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Simplifying -5(1 + 2b) + 7b = 3 + -2b (1 * -5 + 2b * -5) + 7b = 3 + -2b (-5 + -10b) + 7b = 3 + -2b Combine like terms: -10b + 7b = -3b -5 + -3b = 3 + -2b Solving -5 + -3b = 3 + -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. -5 + -3b + 2b = 3 + -2b + 2b Combine like terms: -3b + 2b = -1b -5 + -1b = 3 + -2b + 2b Combine like terms: -2b + 2b = 0 -5 + -1b = 3 + 0 -5 + -1b = 3 Add '5' to each side of the equation. -5 + 5 + -1b = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -1b = 3 + 5 -1b = 3 + 5 Combine like terms: 3 + 5 = 8 -1b = 8 Divide each side by '-1'. b = -8 Simplifying b = -8
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