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Simplifying 3a + -16 = 5(8 + -1a) Reorder the terms: -16 + 3a = 5(8 + -1a) -16 + 3a = (8 * 5 + -1a * 5) -16 + 3a = (40 + -5a) Solving -16 + 3a = 40 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -16 + 3a + 5a = 40 + -5a + 5a Combine like terms: 3a + 5a = 8a -16 + 8a = 40 + -5a + 5a Combine like terms: -5a + 5a = 0 -16 + 8a = 40 + 0 -16 + 8a = 40 Add '16' to each side of the equation. -16 + 16 + 8a = 40 + 16 Combine like terms: -16 + 16 = 0 0 + 8a = 40 + 16 8a = 40 + 16 Combine like terms: 40 + 16 = 56 8a = 56 Divide each side by '8'. a = 7 Simplifying a = 7
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