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Simplifying 5a + 4 = 2(3a + -7) Reorder the terms: 4 + 5a = 2(3a + -7) Reorder the terms: 4 + 5a = 2(-7 + 3a) 4 + 5a = (-7 * 2 + 3a * 2) 4 + 5a = (-14 + 6a) Solving 4 + 5a = -14 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 4 + 5a + -6a = -14 + 6a + -6a Combine like terms: 5a + -6a = -1a 4 + -1a = -14 + 6a + -6a Combine like terms: 6a + -6a = 0 4 + -1a = -14 + 0 4 + -1a = -14 Add '-4' to each side of the equation. 4 + -4 + -1a = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = -14 + -4 -1a = -14 + -4 Combine like terms: -14 + -4 = -18 -1a = -18 Divide each side by '-1'. a = 18 Simplifying a = 18
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