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Simplifying 15a + -5 + -1a = -4 + 3a + -23 Reorder the terms: -5 + 15a + -1a = -4 + 3a + -23 Combine like terms: 15a + -1a = 14a -5 + 14a = -4 + 3a + -23 Reorder the terms: -5 + 14a = -4 + -23 + 3a Combine like terms: -4 + -23 = -27 -5 + 14a = -27 + 3a Solving -5 + 14a = -27 + 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. -5 + 14a + -3a = -27 + 3a + -3a Combine like terms: 14a + -3a = 11a -5 + 11a = -27 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + 11a = -27 + 0 -5 + 11a = -27 Add '5' to each side of the equation. -5 + 5 + 11a = -27 + 5 Combine like terms: -5 + 5 = 0 0 + 11a = -27 + 5 11a = -27 + 5 Combine like terms: -27 + 5 = -22 11a = -22 Divide each side by '11'. a = -2 Simplifying a = -2
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