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Simplifying -6(6b + 3) + -6(b + 5) = 78 Reorder the terms: -6(3 + 6b) + -6(b + 5) = 78 (3 * -6 + 6b * -6) + -6(b + 5) = 78 (-18 + -36b) + -6(b + 5) = 78 Reorder the terms: -18 + -36b + -6(5 + b) = 78 -18 + -36b + (5 * -6 + b * -6) = 78 -18 + -36b + (-30 + -6b) = 78 Reorder the terms: -18 + -30 + -36b + -6b = 78 Combine like terms: -18 + -30 = -48 -48 + -36b + -6b = 78 Combine like terms: -36b + -6b = -42b -48 + -42b = 78 Solving -48 + -42b = 78 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -42b = 78 + 48 Combine like terms: -48 + 48 = 0 0 + -42b = 78 + 48 -42b = 78 + 48 Combine like terms: 78 + 48 = 126 -42b = 126 Divide each side by '-42'. b = -3 Simplifying b = -3
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