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Simplifying -38 + 3a = -4(a + 6) Reorder the terms: -38 + 3a = -4(6 + a) -38 + 3a = (6 * -4 + a * -4) -38 + 3a = (-24 + -4a) Solving -38 + 3a = -24 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -38 + 3a + 4a = -24 + -4a + 4a Combine like terms: 3a + 4a = 7a -38 + 7a = -24 + -4a + 4a Combine like terms: -4a + 4a = 0 -38 + 7a = -24 + 0 -38 + 7a = -24 Add '38' to each side of the equation. -38 + 38 + 7a = -24 + 38 Combine like terms: -38 + 38 = 0 0 + 7a = -24 + 38 7a = -24 + 38 Combine like terms: -24 + 38 = 14 7a = 14 Divide each side by '7'. a = 2 Simplifying a = 2
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