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Simplifying 3(2a + -5) = (a + 10) + -15 Reorder the terms: 3(-5 + 2a) = (a + 10) + -15 (-5 * 3 + 2a * 3) = (a + 10) + -15 (-15 + 6a) = (a + 10) + -15 Reorder the terms: -15 + 6a = (10 + a) + -15 Remove parenthesis around (10 + a) -15 + 6a = 10 + a + -15 Reorder the terms: -15 + 6a = 10 + -15 + a Combine like terms: 10 + -15 = -5 -15 + 6a = -5 + a Solving -15 + 6a = -5 + 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. -15 + 6a + -1a = -5 + a + -1a Combine like terms: 6a + -1a = 5a -15 + 5a = -5 + a + -1a Combine like terms: a + -1a = 0 -15 + 5a = -5 + 0 -15 + 5a = -5 Add '15' to each side of the equation. -15 + 15 + 5a = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 5a = -5 + 15 5a = -5 + 15 Combine like terms: -5 + 15 = 10 5a = 10 Divide each side by '5'. a = 2 Simplifying a = 2
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