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Simplifying 6a + -10 + -9a = -11 + -15a + -5 Reorder the terms: -10 + 6a + -9a = -11 + -15a + -5 Combine like terms: 6a + -9a = -3a -10 + -3a = -11 + -15a + -5 Reorder the terms: -10 + -3a = -11 + -5 + -15a Combine like terms: -11 + -5 = -16 -10 + -3a = -16 + -15a Solving -10 + -3a = -16 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. -10 + -3a + 15a = -16 + -15a + 15a Combine like terms: -3a + 15a = 12a -10 + 12a = -16 + -15a + 15a Combine like terms: -15a + 15a = 0 -10 + 12a = -16 + 0 -10 + 12a = -16 Add '10' to each side of the equation. -10 + 10 + 12a = -16 + 10 Combine like terms: -10 + 10 = 0 0 + 12a = -16 + 10 12a = -16 + 10 Combine like terms: -16 + 10 = -6 12a = -6 Divide each side by '12'. a = -0.5 Simplifying a = -0.5
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