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Simplifying 18a + -14 + -21a = 17 + -1a + 7 Reorder the terms: -14 + 18a + -21a = 17 + -1a + 7 Combine like terms: 18a + -21a = -3a -14 + -3a = 17 + -1a + 7 Reorder the terms: -14 + -3a = 17 + 7 + -1a Combine like terms: 17 + 7 = 24 -14 + -3a = 24 + -1a Solving -14 + -3a = 24 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -14 + -3a + a = 24 + -1a + a Combine like terms: -3a + a = -2a -14 + -2a = 24 + -1a + a Combine like terms: -1a + a = 0 -14 + -2a = 24 + 0 -14 + -2a = 24 Add '14' to each side of the equation. -14 + 14 + -2a = 24 + 14 Combine like terms: -14 + 14 = 0 0 + -2a = 24 + 14 -2a = 24 + 14 Combine like terms: 24 + 14 = 38 -2a = 38 Divide each side by '-2'. a = -19 Simplifying a = -19
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