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Simplifying 4a + -7 = -2a + 1 Reorder the terms: -7 + 4a = -2a + 1 Reorder the terms: -7 + 4a = 1 + -2a Solving -7 + 4a = 1 + -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. -7 + 4a + 2a = 1 + -2a + 2a Combine like terms: 4a + 2a = 6a -7 + 6a = 1 + -2a + 2a Combine like terms: -2a + 2a = 0 -7 + 6a = 1 + 0 -7 + 6a = 1 Add '7' to each side of the equation. -7 + 7 + 6a = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 6a = 1 + 7 6a = 1 + 7 Combine like terms: 1 + 7 = 8 6a = 8 Divide each side by '6'. a = 1.333333333 Simplifying a = 1.333333333
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