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Simplifying 1 + -1a + a = -4(1 + 3a) + 7(2 + 3a) Combine like terms: -1a + a = 0 1 + 0 = -4(1 + 3a) + 7(2 + 3a) 1 = -4(1 + 3a) + 7(2 + 3a) 1 = (1 * -4 + 3a * -4) + 7(2 + 3a) 1 = (-4 + -12a) + 7(2 + 3a) 1 = -4 + -12a + (2 * 7 + 3a * 7) 1 = -4 + -12a + (14 + 21a) Reorder the terms: 1 = -4 + 14 + -12a + 21a Combine like terms: -4 + 14 = 10 1 = 10 + -12a + 21a Combine like terms: -12a + 21a = 9a 1 = 10 + 9a Solving 1 = 10 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 1 + -9a = 10 + 9a + -9a Combine like terms: 9a + -9a = 0 1 + -9a = 10 + 0 1 + -9a = 10 Add '-1' to each side of the equation. 1 + -1 + -9a = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -9a = 10 + -1 -9a = 10 + -1 Combine like terms: 10 + -1 = 9 -9a = 9 Divide each side by '-9'. a = -1 Simplifying a = -1
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