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Simplifying 5a + -9 + -6a + -15 + 7a = 12 + -1a + -2a + 12 + -3a Reorder the terms: -9 + -15 + 5a + -6a + 7a = 12 + -1a + -2a + 12 + -3a Combine like terms: -9 + -15 = -24 -24 + 5a + -6a + 7a = 12 + -1a + -2a + 12 + -3a Combine like terms: 5a + -6a = -1a -24 + -1a + 7a = 12 + -1a + -2a + 12 + -3a Combine like terms: -1a + 7a = 6a -24 + 6a = 12 + -1a + -2a + 12 + -3a Reorder the terms: -24 + 6a = 12 + 12 + -1a + -2a + -3a Combine like terms: 12 + 12 = 24 -24 + 6a = 24 + -1a + -2a + -3a Combine like terms: -1a + -2a = -3a -24 + 6a = 24 + -3a + -3a Combine like terms: -3a + -3a = -6a -24 + 6a = 24 + -6a Solving -24 + 6a = 24 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -24 + 6a + 6a = 24 + -6a + 6a Combine like terms: 6a + 6a = 12a -24 + 12a = 24 + -6a + 6a Combine like terms: -6a + 6a = 0 -24 + 12a = 24 + 0 -24 + 12a = 24 Add '24' to each side of the equation. -24 + 24 + 12a = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 12a = 24 + 24 12a = 24 + 24 Combine like terms: 24 + 24 = 48 12a = 48 Divide each side by '12'. a = 4 Simplifying a = 4
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