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Simplifying 4a + -11 = 3(a + 1) + 18a + 6 Reorder the terms: -11 + 4a = 3(a + 1) + 18a + 6 Reorder the terms: -11 + 4a = 3(1 + a) + 18a + 6 -11 + 4a = (1 * 3 + a * 3) + 18a + 6 -11 + 4a = (3 + 3a) + 18a + 6 Reorder the terms: -11 + 4a = 3 + 6 + 3a + 18a Combine like terms: 3 + 6 = 9 -11 + 4a = 9 + 3a + 18a Combine like terms: 3a + 18a = 21a -11 + 4a = 9 + 21a Solving -11 + 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. -11 + 4a + -21a = 9 + 21a + -21a Combine like terms: 4a + -21a = -17a -11 + -17a = 9 + 21a + -21a Combine like terms: 21a + -21a = 0 -11 + -17a = 9 + 0 -11 + -17a = 9 Add '11' to each side of the equation. -11 + 11 + -17a = 9 + 11 Combine like terms: -11 + 11 = 0 0 + -17a = 9 + 11 -17a = 9 + 11 Combine like terms: 9 + 11 = 20 -17a = 20 Divide each side by '-17'. a = -1.176470588 Simplifying a = -1.176470588
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