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Simplifying 5(2a + -3) + 5 = 3a + 10 Reorder the terms: 5(-3 + 2a) + 5 = 3a + 10 (-3 * 5 + 2a * 5) + 5 = 3a + 10 (-15 + 10a) + 5 = 3a + 10 Reorder the terms: -15 + 5 + 10a = 3a + 10 Combine like terms: -15 + 5 = -10 -10 + 10a = 3a + 10 Reorder the terms: -10 + 10a = 10 + 3a Solving -10 + 10a = 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. -10 + 10a + -3a = 10 + 3a + -3a Combine like terms: 10a + -3a = 7a -10 + 7a = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 -10 + 7a = 10 + 0 -10 + 7a = 10 Add '10' to each side of the equation. -10 + 10 + 7a = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 7a = 10 + 10 7a = 10 + 10 Combine like terms: 10 + 10 = 20 7a = 20 Divide each side by '7'. a = 2.857142857 Simplifying a = 2.857142857
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