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Simplifying 10a + -7 = 3a + 28 Reorder the terms: -7 + 10a = 3a + 28 Reorder the terms: -7 + 10a = 28 + 3a Solving -7 + 10a = 28 + 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 + 10a + -3a = 28 + 3a + -3a Combine like terms: 10a + -3a = 7a -7 + 7a = 28 + 3a + -3a Combine like terms: 3a + -3a = 0 -7 + 7a = 28 + 0 -7 + 7a = 28 Add '7' to each side of the equation. -7 + 7 + 7a = 28 + 7 Combine like terms: -7 + 7 = 0 0 + 7a = 28 + 7 7a = 28 + 7 Combine like terms: 28 + 7 = 35 7a = 35 Divide each side by '7'. a = 5 Simplifying a = 5
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