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Simplifying 2a + 3b + 2 = 2a + 3 + 6b + -1 Reorder the terms: 2 + 2a + 3b = 2a + 3 + 6b + -1 Reorder the terms: 2 + 2a + 3b = 3 + -1 + 2a + 6b Combine like terms: 3 + -1 = 2 2 + 2a + 3b = 2 + 2a + 6b Add '-2' to each side of the equation. 2 + 2a + -2 + 3b = 2 + 2a + -2 + 6b Reorder the terms: 2 + -2 + 2a + 3b = 2 + 2a + -2 + 6b Combine like terms: 2 + -2 = 0 0 + 2a + 3b = 2 + 2a + -2 + 6b 2a + 3b = 2 + 2a + -2 + 6b Reorder the terms: 2a + 3b = 2 + -2 + 2a + 6b Combine like terms: 2 + -2 = 0 2a + 3b = 0 + 2a + 6b 2a + 3b = 2a + 6b Add '-2a' to each side of the equation. 2a + -2a + 3b = 2a + -2a + 6b Combine like terms: 2a + -2a = 0 0 + 3b = 2a + -2a + 6b 3b = 2a + -2a + 6b Combine like terms: 2a + -2a = 0 3b = 0 + 6b 3b = 6b Solving 3b = 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. 3b + -6b = 6b + -6b Combine like terms: 3b + -6b = -3b -3b = 6b + -6b Combine like terms: 6b + -6b = 0 -3b = 0 Divide each side by '-3'. b = 0 Simplifying b = 0
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