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Simplifying 22 + -5a = 47 + -3a Solving 22 + -5a = 47 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 22 + -5a + 3a = 47 + -3a + 3a Combine like terms: -5a + 3a = -2a 22 + -2a = 47 + -3a + 3a Combine like terms: -3a + 3a = 0 22 + -2a = 47 + 0 22 + -2a = 47 Add '-22' to each side of the equation. 22 + -22 + -2a = 47 + -22 Combine like terms: 22 + -22 = 0 0 + -2a = 47 + -22 -2a = 47 + -22 Combine like terms: 47 + -22 = 25 -2a = 25 Divide each side by '-2'. a = -12.5 Simplifying a = -12.5
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