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Simplifying 14 + a = 2(a + -5) Reorder the terms: 14 + a = 2(-5 + a) 14 + a = (-5 * 2 + a * 2) 14 + a = (-10 + 2a) Solving 14 + a = -10 + 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. 14 + a + -2a = -10 + 2a + -2a Combine like terms: a + -2a = -1a 14 + -1a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 14 + -1a = -10 + 0 14 + -1a = -10 Add '-14' to each side of the equation. 14 + -14 + -1a = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -1a = -10 + -14 -1a = -10 + -14 Combine like terms: -10 + -14 = -24 -1a = -24 Divide each side by '-1'. a = 24 Simplifying a = 24
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