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Simplifying -10a + 9 = 2a + -15 Reorder the terms: 9 + -10a = 2a + -15 Reorder the terms: 9 + -10a = -15 + 2a Solving 9 + -10a = -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. 9 + -10a + -2a = -15 + 2a + -2a Combine like terms: -10a + -2a = -12a 9 + -12a = -15 + 2a + -2a Combine like terms: 2a + -2a = 0 9 + -12a = -15 + 0 9 + -12a = -15 Add '-9' to each side of the equation. 9 + -9 + -12a = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -12a = -15 + -9 -12a = -15 + -9 Combine like terms: -15 + -9 = -24 -12a = -24 Divide each side by '-12'. a = 2 Simplifying a = 2
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