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Simplifying 8b + -22 = 3(3b + 11) + -6b Reorder the terms: -22 + 8b = 3(3b + 11) + -6b Reorder the terms: -22 + 8b = 3(11 + 3b) + -6b -22 + 8b = (11 * 3 + 3b * 3) + -6b -22 + 8b = (33 + 9b) + -6b Combine like terms: 9b + -6b = 3b -22 + 8b = 33 + 3b Solving -22 + 8b = 33 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -22 + 8b + -3b = 33 + 3b + -3b Combine like terms: 8b + -3b = 5b -22 + 5b = 33 + 3b + -3b Combine like terms: 3b + -3b = 0 -22 + 5b = 33 + 0 -22 + 5b = 33 Add '22' to each side of the equation. -22 + 22 + 5b = 33 + 22 Combine like terms: -22 + 22 = 0 0 + 5b = 33 + 22 5b = 33 + 22 Combine like terms: 33 + 22 = 55 5b = 55 Divide each side by '5'. b = 11 Simplifying b = 11
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