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Simplifying 2(2b + -3) + 3b = 22 + -7b Reorder the terms: 2(-3 + 2b) + 3b = 22 + -7b (-3 * 2 + 2b * 2) + 3b = 22 + -7b (-6 + 4b) + 3b = 22 + -7b Combine like terms: 4b + 3b = 7b -6 + 7b = 22 + -7b Solving -6 + 7b = 22 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -6 + 7b + 7b = 22 + -7b + 7b Combine like terms: 7b + 7b = 14b -6 + 14b = 22 + -7b + 7b Combine like terms: -7b + 7b = 0 -6 + 14b = 22 + 0 -6 + 14b = 22 Add '6' to each side of the equation. -6 + 6 + 14b = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 14b = 22 + 6 14b = 22 + 6 Combine like terms: 22 + 6 = 28 14b = 28 Divide each side by '14'. b = 2 Simplifying b = 2
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