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Simplifying 5a + -7 = 30 + -3a + 17 Reorder the terms: -7 + 5a = 30 + -3a + 17 Reorder the terms: -7 + 5a = 30 + 17 + -3a Combine like terms: 30 + 17 = 47 -7 + 5a = 47 + -3a Solving -7 + 5a = 47 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -7 + 5a + 3a = 47 + -3a + 3a Combine like terms: 5a + 3a = 8a -7 + 8a = 47 + -3a + 3a Combine like terms: -3a + 3a = 0 -7 + 8a = 47 + 0 -7 + 8a = 47 Add '7' to each side of the equation. -7 + 7 + 8a = 47 + 7 Combine like terms: -7 + 7 = 0 0 + 8a = 47 + 7 8a = 47 + 7 Combine like terms: 47 + 7 = 54 8a = 54 Divide each side by '8'. a = 6.75 Simplifying a = 6.75
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