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Simplifying 3(11b + 11) = -4(-9b + -9) Reorder the terms: 3(11 + 11b) = -4(-9b + -9) (11 * 3 + 11b * 3) = -4(-9b + -9) (33 + 33b) = -4(-9b + -9) Reorder the terms: 33 + 33b = -4(-9 + -9b) 33 + 33b = (-9 * -4 + -9b * -4) 33 + 33b = (36 + 36b) Solving 33 + 33b = 36 + 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. 33 + 33b + -36b = 36 + 36b + -36b Combine like terms: 33b + -36b = -3b 33 + -3b = 36 + 36b + -36b Combine like terms: 36b + -36b = 0 33 + -3b = 36 + 0 33 + -3b = 36 Add '-33' to each side of the equation. 33 + -33 + -3b = 36 + -33 Combine like terms: 33 + -33 = 0 0 + -3b = 36 + -33 -3b = 36 + -33 Combine like terms: 36 + -33 = 3 -3b = 3 Divide each side by '-3'. b = -1 Simplifying b = -1
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