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Simplifying 2(a + -3) + 5a = 3a + 10 Reorder the terms: 2(-3 + a) + 5a = 3a + 10 (-3 * 2 + a * 2) + 5a = 3a + 10 (-6 + 2a) + 5a = 3a + 10 Combine like terms: 2a + 5a = 7a -6 + 7a = 3a + 10 Reorder the terms: -6 + 7a = 10 + 3a Solving -6 + 7a = 10 + 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. -6 + 7a + -3a = 10 + 3a + -3a Combine like terms: 7a + -3a = 4a -6 + 4a = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 -6 + 4a = 10 + 0 -6 + 4a = 10 Add '6' to each side of the equation. -6 + 6 + 4a = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 4a = 10 + 6 4a = 10 + 6 Combine like terms: 10 + 6 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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