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Simplifying 2(15 + -4a) = 4(3a + 7) (15 * 2 + -4a * 2) = 4(3a + 7) (30 + -8a) = 4(3a + 7) Reorder the terms: 30 + -8a = 4(7 + 3a) 30 + -8a = (7 * 4 + 3a * 4) 30 + -8a = (28 + 12a) Solving 30 + -8a = 28 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 30 + -8a + -12a = 28 + 12a + -12a Combine like terms: -8a + -12a = -20a 30 + -20a = 28 + 12a + -12a Combine like terms: 12a + -12a = 0 30 + -20a = 28 + 0 30 + -20a = 28 Add '-30' to each side of the equation. 30 + -30 + -20a = 28 + -30 Combine like terms: 30 + -30 = 0 0 + -20a = 28 + -30 -20a = 28 + -30 Combine like terms: 28 + -30 = -2 -20a = -2 Divide each side by '-20'. a = 0.1 Simplifying a = 0.1
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