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Simplifying 4a + -9 = 3(a + 1) + 18a + 6 Reorder the terms: -9 + 4a = 3(a + 1) + 18a + 6 Reorder the terms: -9 + 4a = 3(1 + a) + 18a + 6 -9 + 4a = (1 * 3 + a * 3) + 18a + 6 -9 + 4a = (3 + 3a) + 18a + 6 Reorder the terms: -9 + 4a = 3 + 6 + 3a + 18a Combine like terms: 3 + 6 = 9 -9 + 4a = 9 + 3a + 18a Combine like terms: 3a + 18a = 21a -9 + 4a = 9 + 21a Solving -9 + 4a = 9 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. -9 + 4a + -21a = 9 + 21a + -21a Combine like terms: 4a + -21a = -17a -9 + -17a = 9 + 21a + -21a Combine like terms: 21a + -21a = 0 -9 + -17a = 9 + 0 -9 + -17a = 9 Add '9' to each side of the equation. -9 + 9 + -17a = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -17a = 9 + 9 -17a = 9 + 9 Combine like terms: 9 + 9 = 18 -17a = 18 Divide each side by '-17'. a = -1.058823529 Simplifying a = -1.058823529
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