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Simplifying a + 16 + -2a + 3a = 4a + -24 + 16 Reorder the terms: 16 + a + -2a + 3a = 4a + -24 + 16 Combine like terms: a + -2a = -1a 16 + -1a + 3a = 4a + -24 + 16 Combine like terms: -1a + 3a = 2a 16 + 2a = 4a + -24 + 16 Reorder the terms: 16 + 2a = -24 + 16 + 4a Combine like terms: -24 + 16 = -8 16 + 2a = -8 + 4a Solving 16 + 2a = -8 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 16 + 2a + -4a = -8 + 4a + -4a Combine like terms: 2a + -4a = -2a 16 + -2a = -8 + 4a + -4a Combine like terms: 4a + -4a = 0 16 + -2a = -8 + 0 16 + -2a = -8 Add '-16' to each side of the equation. 16 + -16 + -2a = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -2a = -8 + -16 -2a = -8 + -16 Combine like terms: -8 + -16 = -24 -2a = -24 Divide each side by '-2'. a = 12 Simplifying a = 12
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