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Simplifying 10a + -15 + -8a = -19 + 3a Reorder the terms: -15 + 10a + -8a = -19 + 3a Combine like terms: 10a + -8a = 2a -15 + 2a = -19 + 3a Solving -15 + 2a = -19 + 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. -15 + 2a + -3a = -19 + 3a + -3a Combine like terms: 2a + -3a = -1a -15 + -1a = -19 + 3a + -3a Combine like terms: 3a + -3a = 0 -15 + -1a = -19 + 0 -15 + -1a = -19 Add '15' to each side of the equation. -15 + 15 + -1a = -19 + 15 Combine like terms: -15 + 15 = 0 0 + -1a = -19 + 15 -1a = -19 + 15 Combine like terms: -19 + 15 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4
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