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Simplifying 5(2a + -3) = 5 + 6a Reorder the terms: 5(-3 + 2a) = 5 + 6a (-3 * 5 + 2a * 5) = 5 + 6a (-15 + 10a) = 5 + 6a Solving -15 + 10a = 5 + 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. -15 + 10a + -6a = 5 + 6a + -6a Combine like terms: 10a + -6a = 4a -15 + 4a = 5 + 6a + -6a Combine like terms: 6a + -6a = 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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