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Simplifying 2x + 6x + 78 + 5a = 90 Reorder the terms: 78 + 5a + 2x + 6x = 90 Combine like terms: 2x + 6x = 8x 78 + 5a + 8x = 90 Solving 78 + 5a + 8x = 90 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + 5a + -78 + 8x = 90 + -78 Reorder the terms: 78 + -78 + 5a + 8x = 90 + -78 Combine like terms: 78 + -78 = 0 0 + 5a + 8x = 90 + -78 5a + 8x = 90 + -78 Combine like terms: 90 + -78 = 12 5a + 8x = 12 Add '-8x' to each side of the equation. 5a + 8x + -8x = 12 + -8x Combine like terms: 8x + -8x = 0 5a + 0 = 12 + -8x 5a = 12 + -8x Divide each side by '5'. a = 2.4 + -1.6x Simplifying a = 2.4 + -1.6x
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