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Simplifying 16 + -2 + a = 4(a + -4) Combine like terms: 16 + -2 = 14 14 + a = 4(a + -4) Reorder the terms: 14 + a = 4(-4 + a) 14 + a = (-4 * 4 + a * 4) 14 + a = (-16 + 4a) Solving 14 + a = -16 + 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. 14 + a + -4a = -16 + 4a + -4a Combine like terms: a + -4a = -3a 14 + -3a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 14 + -3a = -16 + 0 14 + -3a = -16 Add '-14' to each side of the equation. 14 + -14 + -3a = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -3a = -16 + -14 -3a = -16 + -14 Combine like terms: -16 + -14 = -30 -3a = -30 Divide each side by '-3'. a = 10 Simplifying a = 10
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