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Simplifying 6(a + -5) + -3a = a + 10 Reorder the terms: 6(-5 + a) + -3a = a + 10 (-5 * 6 + a * 6) + -3a = a + 10 (-30 + 6a) + -3a = a + 10 Combine like terms: 6a + -3a = 3a -30 + 3a = a + 10 Reorder the terms: -30 + 3a = 10 + a Solving -30 + 3a = 10 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -30 + 3a + -1a = 10 + a + -1a Combine like terms: 3a + -1a = 2a -30 + 2a = 10 + a + -1a Combine like terms: a + -1a = 0 -30 + 2a = 10 + 0 -30 + 2a = 10 Add '30' to each side of the equation. -30 + 30 + 2a = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 2a = 10 + 30 2a = 10 + 30 Combine like terms: 10 + 30 = 40 2a = 40 Divide each side by '2'. a = 20 Simplifying a = 20
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