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Simplifying 15 + -1(8 + -6b) = 4b + 3 15 + (8 * -1 + -6b * -1) = 4b + 3 15 + (-8 + 6b) = 4b + 3 Combine like terms: 15 + -8 = 7 7 + 6b = 4b + 3 Reorder the terms: 7 + 6b = 3 + 4b Solving 7 + 6b = 3 + 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. 7 + 6b + -4b = 3 + 4b + -4b Combine like terms: 6b + -4b = 2b 7 + 2b = 3 + 4b + -4b Combine like terms: 4b + -4b = 0 7 + 2b = 3 + 0 7 + 2b = 3 Add '-7' to each side of the equation. 7 + -7 + 2b = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 2b = 3 + -7 2b = 3 + -7 Combine like terms: 3 + -7 = -4 2b = -4 Divide each side by '2'. b = -2 Simplifying b = -2
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