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Simplifying a + 2b + -3 = 4a + -2b + -22 Reorder the terms: -3 + a + 2b = 4a + -2b + -22 Reorder the terms: -3 + a + 2b = -22 + 4a + -2b Solving -3 + a + 2b = -22 + 4a + -2b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -3 + a + -4a + 2b = -22 + 4a + -4a + -2b Combine like terms: a + -4a = -3a -3 + -3a + 2b = -22 + 4a + -4a + -2b Combine like terms: 4a + -4a = 0 -3 + -3a + 2b = -22 + 0 + -2b -3 + -3a + 2b = -22 + -2b Add '3' to each side of the equation. -3 + -3a + 3 + 2b = -22 + 3 + -2b Reorder the terms: -3 + 3 + -3a + 2b = -22 + 3 + -2b Combine like terms: -3 + 3 = 0 0 + -3a + 2b = -22 + 3 + -2b -3a + 2b = -22 + 3 + -2b Combine like terms: -22 + 3 = -19 -3a + 2b = -19 + -2b Add '-2b' to each side of the equation. -3a + 2b + -2b = -19 + -2b + -2b Combine like terms: 2b + -2b = 0 -3a + 0 = -19 + -2b + -2b -3a = -19 + -2b + -2b Combine like terms: -2b + -2b = -4b -3a = -19 + -4b Divide each side by '-3'. a = 6.333333333 + 1.333333333b Simplifying a = 6.333333333 + 1.333333333b
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