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Simplifying 7 + a + -3a = 5 + -5a Combine like terms: a + -3a = -2a 7 + -2a = 5 + -5a Solving 7 + -2a = 5 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 7 + -2a + 5a = 5 + -5a + 5a Combine like terms: -2a + 5a = 3a 7 + 3a = 5 + -5a + 5a Combine like terms: -5a + 5a = 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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