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Simplifying 5a + -3 = 7a + 7 + 3a Reorder the terms: -3 + 5a = 7a + 7 + 3a Reorder the terms: -3 + 5a = 7 + 7a + 3a Combine like terms: 7a + 3a = 10a -3 + 5a = 7 + 10a Solving -3 + 5a = 7 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -3 + 5a + -10a = 7 + 10a + -10a Combine like terms: 5a + -10a = -5a -3 + -5a = 7 + 10a + -10a Combine like terms: 10a + -10a = 0 -3 + -5a = 7 + 0 -3 + -5a = 7 Add '3' to each side of the equation. -3 + 3 + -5a = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -5a = 7 + 3 -5a = 7 + 3 Combine like terms: 7 + 3 = 10 -5a = 10 Divide each side by '-5'. a = -2 Simplifying a = -2
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