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Simplifying 3(2a + -5) = 2(a + 10) + -15 Reorder the terms: 3(-5 + 2a) = 2(a + 10) + -15 (-5 * 3 + 2a * 3) = 2(a + 10) + -15 (-15 + 6a) = 2(a + 10) + -15 Reorder the terms: -15 + 6a = 2(10 + a) + -15 -15 + 6a = (10 * 2 + a * 2) + -15 -15 + 6a = (20 + 2a) + -15 Reorder the terms: -15 + 6a = 20 + -15 + 2a Combine like terms: 20 + -15 = 5 -15 + 6a = 5 + 2a Solving -15 + 6a = 5 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -15 + 6a + -2a = 5 + 2a + -2a Combine like terms: 6a + -2a = 4a -15 + 4a = 5 + 2a + -2a Combine like terms: 2a + -2a = 0 -15 + 4a = 5 + 0 -15 + 4a = 5 Add '15' to each side of the equation. -15 + 15 + 4a = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 4a = 5 + 15 4a = 5 + 15 Combine like terms: 5 + 15 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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