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Simplifying 4a + -13 = 3(a + 1) + 18a + 4 Reorder the terms: -13 + 4a = 3(a + 1) + 18a + 4 Reorder the terms: -13 + 4a = 3(1 + a) + 18a + 4 -13 + 4a = (1 * 3 + a * 3) + 18a + 4 -13 + 4a = (3 + 3a) + 18a + 4 Reorder the terms: -13 + 4a = 3 + 4 + 3a + 18a Combine like terms: 3 + 4 = 7 -13 + 4a = 7 + 3a + 18a Combine like terms: 3a + 18a = 21a -13 + 4a = 7 + 21a Solving -13 + 4a = 7 + 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. -13 + 4a + -21a = 7 + 21a + -21a Combine like terms: 4a + -21a = -17a -13 + -17a = 7 + 21a + -21a Combine like terms: 21a + -21a = 0 -13 + -17a = 7 + 0 -13 + -17a = 7 Add '13' to each side of the equation. -13 + 13 + -17a = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -17a = 7 + 13 -17a = 7 + 13 Combine like terms: 7 + 13 = 20 -17a = 20 Divide each side by '-17'. a = -1.176470588 Simplifying a = -1.176470588
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