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Simplifying 2a + 10 + -15 = 22 + -1a + 2 Reorder the terms: 10 + -15 + 2a = 22 + -1a + 2 Combine like terms: 10 + -15 = -5 -5 + 2a = 22 + -1a + 2 Reorder the terms: -5 + 2a = 22 + 2 + -1a Combine like terms: 22 + 2 = 24 -5 + 2a = 24 + -1a Solving -5 + 2a = 24 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -5 + 2a + a = 24 + -1a + a Combine like terms: 2a + a = 3a -5 + 3a = 24 + -1a + a Combine like terms: -1a + a = 0 -5 + 3a = 24 + 0 -5 + 3a = 24 Add '5' to each side of the equation. -5 + 5 + 3a = 24 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = 24 + 5 3a = 24 + 5 Combine like terms: 24 + 5 = 29 3a = 29 Divide each side by '3'. a = 9.666666667 Simplifying a = 9.666666667
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