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Simplifying 7 + a = 2(2a + -16) Reorder the terms: 7 + a = 2(-16 + 2a) 7 + a = (-16 * 2 + 2a * 2) 7 + a = (-32 + 4a) Solving 7 + a = -32 + 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. 7 + a + -4a = -32 + 4a + -4a Combine like terms: a + -4a = -3a 7 + -3a = -32 + 4a + -4a Combine like terms: 4a + -4a = 0 7 + -3a = -32 + 0 7 + -3a = -32 Add '-7' to each side of the equation. 7 + -7 + -3a = -32 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = -32 + -7 -3a = -32 + -7 Combine like terms: -32 + -7 = -39 -3a = -39 Divide each side by '-3'. a = 13 Simplifying a = 13
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