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Simplifying 3a + -13 + -9a + 4 = a + 18 + -5a + 7 Reorder the terms: -13 + 4 + 3a + -9a = a + 18 + -5a + 7 Combine like terms: -13 + 4 = -9 -9 + 3a + -9a = a + 18 + -5a + 7 Combine like terms: 3a + -9a = -6a -9 + -6a = a + 18 + -5a + 7 Reorder the terms: -9 + -6a = 18 + 7 + a + -5a Combine like terms: 18 + 7 = 25 -9 + -6a = 25 + a + -5a Combine like terms: a + -5a = -4a -9 + -6a = 25 + -4a Solving -9 + -6a = 25 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -9 + -6a + 4a = 25 + -4a + 4a Combine like terms: -6a + 4a = -2a -9 + -2a = 25 + -4a + 4a Combine like terms: -4a + 4a = 0 -9 + -2a = 25 + 0 -9 + -2a = 25 Add '9' to each side of the equation. -9 + 9 + -2a = 25 + 9 Combine like terms: -9 + 9 = 0 0 + -2a = 25 + 9 -2a = 25 + 9 Combine like terms: 25 + 9 = 34 -2a = 34 Divide each side by '-2'. a = -17 Simplifying a = -17
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