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Simplifying 5a + 2 + -15 = 10 + -3a + 4 Reorder the terms: 2 + -15 + 5a = 10 + -3a + 4 Combine like terms: 2 + -15 = -13 -13 + 5a = 10 + -3a + 4 Reorder the terms: -13 + 5a = 10 + 4 + -3a Combine like terms: 10 + 4 = 14 -13 + 5a = 14 + -3a Solving -13 + 5a = 14 + -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. -13 + 5a + 3a = 14 + -3a + 3a Combine like terms: 5a + 3a = 8a -13 + 8a = 14 + -3a + 3a Combine like terms: -3a + 3a = 0 -13 + 8a = 14 + 0 -13 + 8a = 14 Add '13' to each side of the equation. -13 + 13 + 8a = 14 + 13 Combine like terms: -13 + 13 = 0 0 + 8a = 14 + 13 8a = 14 + 13 Combine like terms: 14 + 13 = 27 8a = 27 Divide each side by '8'. a = 3.375 Simplifying a = 3.375
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