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Simplifying 4a + -17 = 2(a + 1) + 21a + 1 Reorder the terms: -17 + 4a = 2(a + 1) + 21a + 1 Reorder the terms: -17 + 4a = 2(1 + a) + 21a + 1 -17 + 4a = (1 * 2 + a * 2) + 21a + 1 -17 + 4a = (2 + 2a) + 21a + 1 Reorder the terms: -17 + 4a = 2 + 1 + 2a + 21a Combine like terms: 2 + 1 = 3 -17 + 4a = 3 + 2a + 21a Combine like terms: 2a + 21a = 23a -17 + 4a = 3 + 23a Solving -17 + 4a = 3 + 23a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-23a' to each side of the equation. -17 + 4a + -23a = 3 + 23a + -23a Combine like terms: 4a + -23a = -19a -17 + -19a = 3 + 23a + -23a Combine like terms: 23a + -23a = 0 -17 + -19a = 3 + 0 -17 + -19a = 3 Add '17' to each side of the equation. -17 + 17 + -19a = 3 + 17 Combine like terms: -17 + 17 = 0 0 + -19a = 3 + 17 -19a = 3 + 17 Combine like terms: 3 + 17 = 20 -19a = 20 Divide each side by '-19'. a = -1.052631579 Simplifying a = -1.052631579
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