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Simplifying 3 + -6(3 + -1b) = 3b + 6 3 + (3 * -6 + -1b * -6) = 3b + 6 3 + (-18 + 6b) = 3b + 6 Combine like terms: 3 + -18 = -15 -15 + 6b = 3b + 6 Reorder the terms: -15 + 6b = 6 + 3b Solving -15 + 6b = 6 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -15 + 6b + -3b = 6 + 3b + -3b Combine like terms: 6b + -3b = 3b -15 + 3b = 6 + 3b + -3b Combine like terms: 3b + -3b = 0 -15 + 3b = 6 + 0 -15 + 3b = 6 Add '15' to each side of the equation. -15 + 15 + 3b = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 3b = 6 + 15 3b = 6 + 15 Combine like terms: 6 + 15 = 21 3b = 21 Divide each side by '3'. b = 7 Simplifying b = 7
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