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Simplifying 16 + -1a = -3 + -5(a + 1) Reorder the terms: 16 + -1a = -3 + -5(1 + a) 16 + -1a = -3 + (1 * -5 + a * -5) 16 + -1a = -3 + (-5 + -5a) Combine like terms: -3 + -5 = -8 16 + -1a = -8 + -5a Solving 16 + -1a = -8 + -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 + -1a + 5a = -8 + -5a + 5a Combine like terms: -1a + 5a = 4a 16 + 4a = -8 + -5a + 5a Combine like terms: -5a + 5a = 0 16 + 4a = -8 + 0 16 + 4a = -8 Add '-16' to each side of the equation. 16 + -16 + 4a = -8 + -16 Combine like terms: 16 + -16 = 0 0 + 4a = -8 + -16 4a = -8 + -16 Combine like terms: -8 + -16 = -24 4a = -24 Divide each side by '4'. a = -6 Simplifying a = -6
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