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Simplifying 3a + -16 = 2(a + 1) + 20 + 2 Reorder the terms: -16 + 3a = 2(a + 1) + 20 + 2 Reorder the terms: -16 + 3a = 2(1 + a) + 20 + 2 -16 + 3a = (1 * 2 + a * 2) + 20 + 2 -16 + 3a = (2 + 2a) + 20 + 2 Reorder the terms: -16 + 3a = 2 + 20 + 2 + 2a Combine like terms: 2 + 20 = 22 -16 + 3a = 22 + 2 + 2a Combine like terms: 22 + 2 = 24 -16 + 3a = 24 + 2a Solving -16 + 3a = 24 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -16 + 3a + -2a = 24 + 2a + -2a Combine like terms: 3a + -2a = 1a -16 + 1a = 24 + 2a + -2a Combine like terms: 2a + -2a = 0 -16 + 1a = 24 + 0 -16 + 1a = 24 Add '16' to each side of the equation. -16 + 16 + 1a = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 1a = 24 + 16 1a = 24 + 16 Combine like terms: 24 + 16 = 40 1a = 40 Divide each side by '1'. a = 40 Simplifying a = 40
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