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Simplifying 15 + a + a + a = 51 + -1a + -1a + -1a Combine like terms: a + a = 2a 15 + 2a + a = 51 + -1a + -1a + -1a Combine like terms: 2a + a = 3a 15 + 3a = 51 + -1a + -1a + -1a Combine like terms: -1a + -1a = -2a 15 + 3a = 51 + -2a + -1a Combine like terms: -2a + -1a = -3a 15 + 3a = 51 + -3a Solving 15 + 3a = 51 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 15 + 3a + 3a = 51 + -3a + 3a Combine like terms: 3a + 3a = 6a 15 + 6a = 51 + -3a + 3a Combine like terms: -3a + 3a = 0 15 + 6a = 51 + 0 15 + 6a = 51 Add '-15' to each side of the equation. 15 + -15 + 6a = 51 + -15 Combine like terms: 15 + -15 = 0 0 + 6a = 51 + -15 6a = 51 + -15 Combine like terms: 51 + -15 = 36 6a = 36 Divide each side by '6'. a = 6 Simplifying a = 6
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