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Simplifying 5a + 4(8 + -1a) = 16 + -2(4a + 19) 5a + (8 * 4 + -1a * 4) = 16 + -2(4a + 19) 5a + (32 + -4a) = 16 + -2(4a + 19) Reorder the terms: 32 + 5a + -4a = 16 + -2(4a + 19) Combine like terms: 5a + -4a = 1a 32 + 1a = 16 + -2(4a + 19) Reorder the terms: 32 + 1a = 16 + -2(19 + 4a) 32 + 1a = 16 + (19 * -2 + 4a * -2) 32 + 1a = 16 + (-38 + -8a) Combine like terms: 16 + -38 = -22 32 + 1a = -22 + -8a Solving 32 + 1a = -22 + -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 + 1a + 8a = -22 + -8a + 8a Combine like terms: 1a + 8a = 9a 32 + 9a = -22 + -8a + 8a Combine like terms: -8a + 8a = 0 32 + 9a = -22 + 0 32 + 9a = -22 Add '-32' to each side of the equation. 32 + -32 + 9a = -22 + -32 Combine like terms: 32 + -32 = 0 0 + 9a = -22 + -32 9a = -22 + -32 Combine like terms: -22 + -32 = -54 9a = -54 Divide each side by '9'. a = -6 Simplifying a = -6
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