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Simplifying 2a + 18 = 16 + -4(a + 7) Reorder the terms: 18 + 2a = 16 + -4(a + 7) Reorder the terms: 18 + 2a = 16 + -4(7 + a) 18 + 2a = 16 + (7 * -4 + a * -4) 18 + 2a = 16 + (-28 + -4a) Combine like terms: 16 + -28 = -12 18 + 2a = -12 + -4a Solving 18 + 2a = -12 + -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. 18 + 2a + 4a = -12 + -4a + 4a Combine like terms: 2a + 4a = 6a 18 + 6a = -12 + -4a + 4a Combine like terms: -4a + 4a = 0 18 + 6a = -12 + 0 18 + 6a = -12 Add '-18' to each side of the equation. 18 + -18 + 6a = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 6a = -12 + -18 6a = -12 + -18 Combine like terms: -12 + -18 = -30 6a = -30 Divide each side by '6'. a = -5 Simplifying a = -5
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