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Simplifying 4(6a + 10) = 4(a + 30) Reorder the terms: 4(10 + 6a) = 4(a + 30) (10 * 4 + 6a * 4) = 4(a + 30) (40 + 24a) = 4(a + 30) Reorder the terms: 40 + 24a = 4(30 + a) 40 + 24a = (30 * 4 + a * 4) 40 + 24a = (120 + 4a) Solving 40 + 24a = 120 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 40 + 24a + -4a = 120 + 4a + -4a Combine like terms: 24a + -4a = 20a 40 + 20a = 120 + 4a + -4a Combine like terms: 4a + -4a = 0 40 + 20a = 120 + 0 40 + 20a = 120 Add '-40' to each side of the equation. 40 + -40 + 20a = 120 + -40 Combine like terms: 40 + -40 = 0 0 + 20a = 120 + -40 20a = 120 + -40 Combine like terms: 120 + -40 = 80 20a = 80 Divide each side by '20'. a = 4 Simplifying a = 4
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