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Simplifying -6(3b + -1) + -6(3b + -2) = 54 Reorder the terms: -6(-1 + 3b) + -6(3b + -2) = 54 (-1 * -6 + 3b * -6) + -6(3b + -2) = 54 (6 + -18b) + -6(3b + -2) = 54 Reorder the terms: 6 + -18b + -6(-2 + 3b) = 54 6 + -18b + (-2 * -6 + 3b * -6) = 54 6 + -18b + (12 + -18b) = 54 Reorder the terms: 6 + 12 + -18b + -18b = 54 Combine like terms: 6 + 12 = 18 18 + -18b + -18b = 54 Combine like terms: -18b + -18b = -36b 18 + -36b = 54 Solving 18 + -36b = 54 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -36b = 54 + -18 Combine like terms: 18 + -18 = 0 0 + -36b = 54 + -18 -36b = 54 + -18 Combine like terms: 54 + -18 = 36 -36b = 36 Divide each side by '-36'. b = -1 Simplifying b = -1
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