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Simplifying -8(a + -4) + 3a = 2(4a + 9) + 1 Reorder the terms: -8(-4 + a) + 3a = 2(4a + 9) + 1 (-4 * -8 + a * -8) + 3a = 2(4a + 9) + 1 (32 + -8a) + 3a = 2(4a + 9) + 1 Combine like terms: -8a + 3a = -5a 32 + -5a = 2(4a + 9) + 1 Reorder the terms: 32 + -5a = 2(9 + 4a) + 1 32 + -5a = (9 * 2 + 4a * 2) + 1 32 + -5a = (18 + 8a) + 1 Reorder the terms: 32 + -5a = 18 + 1 + 8a Combine like terms: 18 + 1 = 19 32 + -5a = 19 + 8a Solving 32 + -5a = 19 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 32 + -5a + -8a = 19 + 8a + -8a Combine like terms: -5a + -8a = -13a 32 + -13a = 19 + 8a + -8a Combine like terms: 8a + -8a = 0 32 + -13a = 19 + 0 32 + -13a = 19 Add '-32' to each side of the equation. 32 + -32 + -13a = 19 + -32 Combine like terms: 32 + -32 = 0 0 + -13a = 19 + -32 -13a = 19 + -32 Combine like terms: 19 + -32 = -13 -13a = -13 Divide each side by '-13'. a = 1 Simplifying a = 1
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