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Simplifying -38 + -4a = 2(5 + -5a) -38 + -4a = (5 * 2 + -5a * 2) -38 + -4a = (10 + -10a) Solving -38 + -4a = 10 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. -38 + -4a + 10a = 10 + -10a + 10a Combine like terms: -4a + 10a = 6a -38 + 6a = 10 + -10a + 10a Combine like terms: -10a + 10a = 0 -38 + 6a = 10 + 0 -38 + 6a = 10 Add '38' to each side of the equation. -38 + 38 + 6a = 10 + 38 Combine like terms: -38 + 38 = 0 0 + 6a = 10 + 38 6a = 10 + 38 Combine like terms: 10 + 38 = 48 6a = 48 Divide each side by '6'. a = 8 Simplifying a = 8
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