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Simplifying 3(a + 10) = 27a + -1(3a + 0) Reorder the terms: 3(10 + a) = 27a + -1(3a + 0) (10 * 3 + a * 3) = 27a + -1(3a + 0) (30 + 3a) = 27a + -1(3a + 0) Reorder the terms: 30 + 3a = 27a + -1(0 + 3a) Remove the zero: 30 + 3a = 27a + -1(3a) Remove parenthesis around (3a) 30 + 3a = 27a + -1 * 3a Multiply -1 * 3 30 + 3a = 27a + -3a Combine like terms: 27a + -3a = 24a 30 + 3a = 24a Solving 30 + 3a = 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 30 + 3a + -24a = 24a + -24a Combine like terms: 3a + -24a = -21a 30 + -21a = 24a + -24a Combine like terms: 24a + -24a = 0 30 + -21a = 0 Add '-30' to each side of the equation. 30 + -30 + -21a = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -21a = 0 + -30 -21a = 0 + -30 Combine like terms: 0 + -30 = -30 -21a = -30 Divide each side by '-21'. a = 1.428571429 Simplifying a = 1.428571429
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