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Simplifying 2(a + 1) + 17 = -6(a + 6) + 3 Reorder the terms: 2(1 + a) + 17 = -6(a + 6) + 3 (1 * 2 + a * 2) + 17 = -6(a + 6) + 3 (2 + 2a) + 17 = -6(a + 6) + 3 Reorder the terms: 2 + 17 + 2a = -6(a + 6) + 3 Combine like terms: 2 + 17 = 19 19 + 2a = -6(a + 6) + 3 Reorder the terms: 19 + 2a = -6(6 + a) + 3 19 + 2a = (6 * -6 + a * -6) + 3 19 + 2a = (-36 + -6a) + 3 Reorder the terms: 19 + 2a = -36 + 3 + -6a Combine like terms: -36 + 3 = -33 19 + 2a = -33 + -6a Solving 19 + 2a = -33 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 19 + 2a + 6a = -33 + -6a + 6a Combine like terms: 2a + 6a = 8a 19 + 8a = -33 + -6a + 6a Combine like terms: -6a + 6a = 0 19 + 8a = -33 + 0 19 + 8a = -33 Add '-19' to each side of the equation. 19 + -19 + 8a = -33 + -19 Combine like terms: 19 + -19 = 0 0 + 8a = -33 + -19 8a = -33 + -19 Combine like terms: -33 + -19 = -52 8a = -52 Divide each side by '8'. a = -6.5 Simplifying a = -6.5
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