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Simplifying 5(a + -7) + 2(a + 44) = a + 14 Reorder the terms: 5(-7 + a) + 2(a + 44) = a + 14 (-7 * 5 + a * 5) + 2(a + 44) = a + 14 (-35 + 5a) + 2(a + 44) = a + 14 Reorder the terms: -35 + 5a + 2(44 + a) = a + 14 -35 + 5a + (44 * 2 + a * 2) = a + 14 -35 + 5a + (88 + 2a) = a + 14 Reorder the terms: -35 + 88 + 5a + 2a = a + 14 Combine like terms: -35 + 88 = 53 53 + 5a + 2a = a + 14 Combine like terms: 5a + 2a = 7a 53 + 7a = a + 14 Reorder the terms: 53 + 7a = 14 + a Solving 53 + 7a = 14 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 53 + 7a + -1a = 14 + a + -1a Combine like terms: 7a + -1a = 6a 53 + 6a = 14 + a + -1a Combine like terms: a + -1a = 0 53 + 6a = 14 + 0 53 + 6a = 14 Add '-53' to each side of the equation. 53 + -53 + 6a = 14 + -53 Combine like terms: 53 + -53 = 0 0 + 6a = 14 + -53 6a = 14 + -53 Combine like terms: 14 + -53 = -39 6a = -39 Divide each side by '6'. a = -6.5 Simplifying a = -6.5
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