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Simplifying -4 + 7a = 2 + 6a + 30 Reorder the terms: -4 + 7a = 2 + 30 + 6a Combine like terms: 2 + 30 = 32 -4 + 7a = 32 + 6a Solving -4 + 7a = 32 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -4 + 7a + -6a = 32 + 6a + -6a Combine like terms: 7a + -6a = 1a -4 + 1a = 32 + 6a + -6a Combine like terms: 6a + -6a = 0 -4 + 1a = 32 + 0 -4 + 1a = 32 Add '4' to each side of the equation. -4 + 4 + 1a = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 1a = 32 + 4 1a = 32 + 4 Combine like terms: 32 + 4 = 36 1a = 36 Divide each side by '1'. a = 36 Simplifying a = 36
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