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Simplifying 3 + -1(6b + -15) = 4b + 8 Reorder the terms: 3 + -1(-15 + 6b) = 4b + 8 3 + (-15 * -1 + 6b * -1) = 4b + 8 3 + (15 + -6b) = 4b + 8 Combine like terms: 3 + 15 = 18 18 + -6b = 4b + 8 Reorder the terms: 18 + -6b = 8 + 4b Solving 18 + -6b = 8 + 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. 18 + -6b + -4b = 8 + 4b + -4b Combine like terms: -6b + -4b = -10b 18 + -10b = 8 + 4b + -4b Combine like terms: 4b + -4b = 0 18 + -10b = 8 + 0 18 + -10b = 8 Add '-18' to each side of the equation. 18 + -18 + -10b = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -10b = 8 + -18 -10b = 8 + -18 Combine like terms: 8 + -18 = -10 -10b = -10 Divide each side by '-10'. b = 1 Simplifying b = 1
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