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Simplifying 10a + -5 + -3a = 2a + -15 Reorder the terms: -5 + 10a + -3a = 2a + -15 Combine like terms: 10a + -3a = 7a -5 + 7a = 2a + -15 Reorder the terms: -5 + 7a = -15 + 2a Solving -5 + 7a = -15 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -5 + 7a + -2a = -15 + 2a + -2a Combine like terms: 7a + -2a = 5a -5 + 5a = -15 + 2a + -2a Combine like terms: 2a + -2a = 0 -5 + 5a = -15 + 0 -5 + 5a = -15 Add '5' to each side of the equation. -5 + 5 + 5a = -15 + 5 Combine like terms: -5 + 5 = 0 0 + 5a = -15 + 5 5a = -15 + 5 Combine like terms: -15 + 5 = -10 5a = -10 Divide each side by '5'. a = -2 Simplifying a = -2
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