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Simplifying a + 90 = 3a + -78 Reorder the terms: 90 + a = 3a + -78 Reorder the terms: 90 + a = -78 + 3a Solving 90 + a = -78 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 90 + a + -3a = -78 + 3a + -3a Combine like terms: a + -3a = -2a 90 + -2a = -78 + 3a + -3a Combine like terms: 3a + -3a = 0 90 + -2a = -78 + 0 90 + -2a = -78 Add '-90' to each side of the equation. 90 + -90 + -2a = -78 + -90 Combine like terms: 90 + -90 = 0 0 + -2a = -78 + -90 -2a = -78 + -90 Combine like terms: -78 + -90 = -168 -2a = -168 Divide each side by '-2'. a = 84 Simplifying a = 84
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