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Simplifying 4a + -7 = 5 + -2a + 10 Reorder the terms: -7 + 4a = 5 + -2a + 10 Reorder the terms: -7 + 4a = 5 + 10 + -2a Combine like terms: 5 + 10 = 15 -7 + 4a = 15 + -2a Solving -7 + 4a = 15 + -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 = 15 + -2a + 2a Combine like terms: 4a + 2a = 6a -7 + 6a = 15 + -2a + 2a Combine like terms: -2a + 2a = 0 -7 + 6a = 15 + 0 -7 + 6a = 15 Add '7' to each side of the equation. -7 + 7 + 6a = 15 + 7 Combine like terms: -7 + 7 = 0 0 + 6a = 15 + 7 6a = 15 + 7 Combine like terms: 15 + 7 = 22 6a = 22 Divide each side by '6'. a = 3.666666667 Simplifying a = 3.666666667
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