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Simplifying 5 + -6a + 7 + 2a = 8a + -2 + -15a + 5 Reorder the terms: 5 + 7 + -6a + 2a = 8a + -2 + -15a + 5 Combine like terms: 5 + 7 = 12 12 + -6a + 2a = 8a + -2 + -15a + 5 Combine like terms: -6a + 2a = -4a 12 + -4a = 8a + -2 + -15a + 5 Reorder the terms: 12 + -4a = -2 + 5 + 8a + -15a Combine like terms: -2 + 5 = 3 12 + -4a = 3 + 8a + -15a Combine like terms: 8a + -15a = -7a 12 + -4a = 3 + -7a Solving 12 + -4a = 3 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 12 + -4a + 7a = 3 + -7a + 7a Combine like terms: -4a + 7a = 3a 12 + 3a = 3 + -7a + 7a Combine like terms: -7a + 7a = 0 12 + 3a = 3 + 0 12 + 3a = 3 Add '-12' to each side of the equation. 12 + -12 + 3a = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = 3 + -12 3a = 3 + -12 Combine like terms: 3 + -12 = -9 3a = -9 Divide each side by '3'. a = -3 Simplifying a = -3
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