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Simplifying 3a + -7 = 5a + 6 Reorder the terms: -7 + 3a = 5a + 6 Reorder the terms: -7 + 3a = 6 + 5a Solving -7 + 3a = 6 + 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 + 3a + -5a = 6 + 5a + -5a Combine like terms: 3a + -5a = -2a -7 + -2a = 6 + 5a + -5a Combine like terms: 5a + -5a = 0 -7 + -2a = 6 + 0 -7 + -2a = 6 Add '7' to each side of the equation. -7 + 7 + -2a = 6 + 7 Combine like terms: -7 + 7 = 0 0 + -2a = 6 + 7 -2a = 6 + 7 Combine like terms: 6 + 7 = 13 -2a = 13 Divide each side by '-2'. a = -6.5 Simplifying a = -6.5
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