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Simplifying 2(5 + 5b) + -54 = 6(6b + -3) (5 * 2 + 5b * 2) + -54 = 6(6b + -3) (10 + 10b) + -54 = 6(6b + -3) Reorder the terms: 10 + -54 + 10b = 6(6b + -3) Combine like terms: 10 + -54 = -44 -44 + 10b = 6(6b + -3) Reorder the terms: -44 + 10b = 6(-3 + 6b) -44 + 10b = (-3 * 6 + 6b * 6) -44 + 10b = (-18 + 36b) Solving -44 + 10b = -18 + 36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36b' to each side of the equation. -44 + 10b + -36b = -18 + 36b + -36b Combine like terms: 10b + -36b = -26b -44 + -26b = -18 + 36b + -36b Combine like terms: 36b + -36b = 0 -44 + -26b = -18 + 0 -44 + -26b = -18 Add '44' to each side of the equation. -44 + 44 + -26b = -18 + 44 Combine like terms: -44 + 44 = 0 0 + -26b = -18 + 44 -26b = -18 + 44 Combine like terms: -18 + 44 = 26 -26b = 26 Divide each side by '-26'. b = -1 Simplifying b = -1
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