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