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Simplifying 2a + -13 = 4(a + 1) + 17a + 3 Reorder the terms: -13 + 2a = 4(a + 1) + 17a + 3 Reorder the terms: -13 + 2a = 4(1 + a) + 17a + 3 -13 + 2a = (1 * 4 + a * 4) + 17a + 3 -13 + 2a = (4 + 4a) + 17a + 3 Reorder the terms: -13 + 2a = 4 + 3 + 4a + 17a Combine like terms: 4 + 3 = 7 -13 + 2a = 7 + 4a + 17a Combine like terms: 4a + 17a = 21a -13 + 2a = 7 + 21a Solving -13 + 2a = 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 + 2a + -21a = 7 + 21a + -21a Combine like terms: 2a + -21a = -19a -13 + -19a = 7 + 21a + -21a Combine like terms: 21a + -21a = 0 -13 + -19a = 7 + 0 -13 + -19a = 7 Add '13' to each side of the equation. -13 + 13 + -19a = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -19a = 7 + 13 -19a = 7 + 13 Combine like terms: 7 + 13 = 20 -19a = 20 Divide each side by '-19'. a = -1.052631579 Simplifying a = -1.052631579
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