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Simplifying 15a + -3 + -3a + 4 = -66 + -5a + -1 Reorder the terms: -3 + 4 + 15a + -3a = -66 + -5a + -1 Combine like terms: -3 + 4 = 1 1 + 15a + -3a = -66 + -5a + -1 Combine like terms: 15a + -3a = 12a 1 + 12a = -66 + -5a + -1 Reorder the terms: 1 + 12a = -66 + -1 + -5a Combine like terms: -66 + -1 = -67 1 + 12a = -67 + -5a Solving 1 + 12a = -67 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 1 + 12a + 5a = -67 + -5a + 5a Combine like terms: 12a + 5a = 17a 1 + 17a = -67 + -5a + 5a Combine like terms: -5a + 5a = 0 1 + 17a = -67 + 0 1 + 17a = -67 Add '-1' to each side of the equation. 1 + -1 + 17a = -67 + -1 Combine like terms: 1 + -1 = 0 0 + 17a = -67 + -1 17a = -67 + -1 Combine like terms: -67 + -1 = -68 17a = -68 Divide each side by '17'. a = -4 Simplifying a = -4
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