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Simplifying 7a + -12 = 4a + 1 Reorder the terms: -12 + 7a = 4a + 1 Reorder the terms: -12 + 7a = 1 + 4a Solving -12 + 7a = 1 + 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. -12 + 7a + -4a = 1 + 4a + -4a Combine like terms: 7a + -4a = 3a -12 + 3a = 1 + 4a + -4a Combine like terms: 4a + -4a = 0 -12 + 3a = 1 + 0 -12 + 3a = 1 Add '12' to each side of the equation. -12 + 12 + 3a = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 3a = 1 + 12 3a = 1 + 12 Combine like terms: 1 + 12 = 13 3a = 13 Divide each side by '3'. a = 4.333333333 Simplifying a = 4.333333333
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