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Simplifying 10a + -3 = 6a + 33 Reorder the terms: -3 + 10a = 6a + 33 Reorder the terms: -3 + 10a = 33 + 6a Solving -3 + 10a = 33 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -3 + 10a + -6a = 33 + 6a + -6a Combine like terms: 10a + -6a = 4a -3 + 4a = 33 + 6a + -6a Combine like terms: 6a + -6a = 0 -3 + 4a = 33 + 0 -3 + 4a = 33 Add '3' to each side of the equation. -3 + 3 + 4a = 33 + 3 Combine like terms: -3 + 3 = 0 0 + 4a = 33 + 3 4a = 33 + 3 Combine like terms: 33 + 3 = 36 4a = 36 Divide each side by '4'. a = 9 Simplifying a = 9
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