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Simplifying 8a + -2a + -38 = 2a + -2 Reorder the terms: -38 + 8a + -2a = 2a + -2 Combine like terms: 8a + -2a = 6a -38 + 6a = 2a + -2 Reorder the terms: -38 + 6a = -2 + 2a Solving -38 + 6a = -2 + 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. -38 + 6a + -2a = -2 + 2a + -2a Combine like terms: 6a + -2a = 4a -38 + 4a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 -38 + 4a = -2 + 0 -38 + 4a = -2 Add '38' to each side of the equation. -38 + 38 + 4a = -2 + 38 Combine like terms: -38 + 38 = 0 0 + 4a = -2 + 38 4a = -2 + 38 Combine like terms: -2 + 38 = 36 4a = 36 Divide each side by '4'. a = 9 Simplifying a = 9
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