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Simplifying 3a + -7 + 2a = -5 + 2a Reorder the terms: -7 + 3a + 2a = -5 + 2a Combine like terms: 3a + 2a = 5a -7 + 5a = -5 + 2a Solving -7 + 5a = -5 + 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 + 5a + -2a = -5 + 2a + -2a Combine like terms: 5a + -2a = 3a -7 + 3a = -5 + 2a + -2a Combine like terms: 2a + -2a = 0 -7 + 3a = -5 + 0 -7 + 3a = -5 Add '7' to each side of the equation. -7 + 7 + 3a = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 3a = -5 + 7 3a = -5 + 7 Combine like terms: -5 + 7 = 2 3a = 2 Divide each side by '3'. a = 0.6666666667 Simplifying a = 0.6666666667
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