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Simplifying -7(1 + -3b) + -5 = 33 + 6b (1 * -7 + -3b * -7) + -5 = 33 + 6b (-7 + 21b) + -5 = 33 + 6b Reorder the terms: -7 + -5 + 21b = 33 + 6b Combine like terms: -7 + -5 = -12 -12 + 21b = 33 + 6b Solving -12 + 21b = 33 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -12 + 21b + -6b = 33 + 6b + -6b Combine like terms: 21b + -6b = 15b -12 + 15b = 33 + 6b + -6b Combine like terms: 6b + -6b = 0 -12 + 15b = 33 + 0 -12 + 15b = 33 Add '12' to each side of the equation. -12 + 12 + 15b = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 15b = 33 + 12 15b = 33 + 12 Combine like terms: 33 + 12 = 45 15b = 45 Divide each side by '15'. b = 3 Simplifying b = 3
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