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Simplifying 2 + -4(2 + 3a) = -2a + 14 2 + (2 * -4 + 3a * -4) = -2a + 14 2 + (-8 + -12a) = -2a + 14 Combine like terms: 2 + -8 = -6 -6 + -12a = -2a + 14 Reorder the terms: -6 + -12a = 14 + -2a Solving -6 + -12a = 14 + -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. -6 + -12a + 2a = 14 + -2a + 2a Combine like terms: -12a + 2a = -10a -6 + -10a = 14 + -2a + 2a Combine like terms: -2a + 2a = 0 -6 + -10a = 14 + 0 -6 + -10a = 14 Add '6' to each side of the equation. -6 + 6 + -10a = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -10a = 14 + 6 -10a = 14 + 6 Combine like terms: 14 + 6 = 20 -10a = 20 Divide each side by '-10'. a = -2 Simplifying a = -2
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