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Simplifying 4(a + 2) = 14 + -293 + -2a Reorder the terms: 4(2 + a) = 14 + -293 + -2a (2 * 4 + a * 4) = 14 + -293 + -2a (8 + 4a) = 14 + -293 + -2a Combine like terms: 14 + -293 = -279 8 + 4a = -279 + -2a Solving 8 + 4a = -279 + -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. 8 + 4a + 2a = -279 + -2a + 2a Combine like terms: 4a + 2a = 6a 8 + 6a = -279 + -2a + 2a Combine like terms: -2a + 2a = 0 8 + 6a = -279 + 0 8 + 6a = -279 Add '-8' to each side of the equation. 8 + -8 + 6a = -279 + -8 Combine like terms: 8 + -8 = 0 0 + 6a = -279 + -8 6a = -279 + -8 Combine like terms: -279 + -8 = -287 6a = -287 Divide each side by '6'. a = -47.83333333 Simplifying a = -47.83333333
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