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Simplifying 5a + -9 + -6a + -15 + 7a = 12 + -1a + -12 + -3a Reorder the terms: -9 + -15 + 5a + -6a + 7a = 12 + -1a + -12 + -3a Combine like terms: -9 + -15 = -24 -24 + 5a + -6a + 7a = 12 + -1a + -12 + -3a Combine like terms: 5a + -6a = -1a -24 + -1a + 7a = 12 + -1a + -12 + -3a Combine like terms: -1a + 7a = 6a -24 + 6a = 12 + -1a + -12 + -3a Reorder the terms: -24 + 6a = 12 + -12 + -1a + -3a Combine like terms: 12 + -12 = 0 -24 + 6a = 0 + -1a + -3a -24 + 6a = -1a + -3a Combine like terms: -1a + -3a = -4a -24 + 6a = -4a Solving -24 + 6a = -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -24 + 6a + 4a = -4a + 4a Combine like terms: 6a + 4a = 10a -24 + 10a = -4a + 4a Combine like terms: -4a + 4a = 0 -24 + 10a = 0 Add '24' to each side of the equation. -24 + 24 + 10a = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 10a = 0 + 24 10a = 0 + 24 Combine like terms: 0 + 24 = 24 10a = 24 Divide each side by '10'. a = 2.4 Simplifying a = 2.4
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