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Simplifying -8(a + -4) + 3a = 3(4a + 9) + 1 Reorder the terms: -8(-4 + a) + 3a = 3(4a + 9) + 1 (-4 * -8 + a * -8) + 3a = 3(4a + 9) + 1 (32 + -8a) + 3a = 3(4a + 9) + 1 Combine like terms: -8a + 3a = -5a 32 + -5a = 3(4a + 9) + 1 Reorder the terms: 32 + -5a = 3(9 + 4a) + 1 32 + -5a = (9 * 3 + 4a * 3) + 1 32 + -5a = (27 + 12a) + 1 Reorder the terms: 32 + -5a = 27 + 1 + 12a Combine like terms: 27 + 1 = 28 32 + -5a = 28 + 12a Solving 32 + -5a = 28 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 32 + -5a + -12a = 28 + 12a + -12a Combine like terms: -5a + -12a = -17a 32 + -17a = 28 + 12a + -12a Combine like terms: 12a + -12a = 0 32 + -17a = 28 + 0 32 + -17a = 28 Add '-32' to each side of the equation. 32 + -32 + -17a = 28 + -32 Combine like terms: 32 + -32 = 0 0 + -17a = 28 + -32 -17a = 28 + -32 Combine like terms: 28 + -32 = -4 -17a = -4 Divide each side by '-17'. a = 0.2352941176 Simplifying a = 0.2352941176
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