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Simplifying -6(3b + 3) + -8(4 + -1b) = -30 Reorder the terms: -6(3 + 3b) + -8(4 + -1b) = -30 (3 * -6 + 3b * -6) + -8(4 + -1b) = -30 (-18 + -18b) + -8(4 + -1b) = -30 -18 + -18b + (4 * -8 + -1b * -8) = -30 -18 + -18b + (-32 + 8b) = -30 Reorder the terms: -18 + -32 + -18b + 8b = -30 Combine like terms: -18 + -32 = -50 -50 + -18b + 8b = -30 Combine like terms: -18b + 8b = -10b -50 + -10b = -30 Solving -50 + -10b = -30 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -10b = -30 + 50 Combine like terms: -50 + 50 = 0 0 + -10b = -30 + 50 -10b = -30 + 50 Combine like terms: -30 + 50 = 20 -10b = 20 Divide each side by '-10'. b = -2 Simplifying b = -2
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