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Simplifying 2 + -5(a + 2) = -4a + -14 Reorder the terms: 2 + -5(2 + a) = -4a + -14 2 + (2 * -5 + a * -5) = -4a + -14 2 + (-10 + -5a) = -4a + -14 Combine like terms: 2 + -10 = -8 -8 + -5a = -4a + -14 Reorder the terms: -8 + -5a = -14 + -4a Solving -8 + -5a = -14 + -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. -8 + -5a + 4a = -14 + -4a + 4a Combine like terms: -5a + 4a = -1a -8 + -1a = -14 + -4a + 4a Combine like terms: -4a + 4a = 0 -8 + -1a = -14 + 0 -8 + -1a = -14 Add '8' to each side of the equation. -8 + 8 + -1a = -14 + 8 Combine like terms: -8 + 8 = 0 0 + -1a = -14 + 8 -1a = -14 + 8 Combine like terms: -14 + 8 = -6 -1a = -6 Divide each side by '-1'. a = 6 Simplifying a = 6
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