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Simplifying 3(12 + -3a) = 5(2a + 7) (12 * 3 + -3a * 3) = 5(2a + 7) (36 + -9a) = 5(2a + 7) Reorder the terms: 36 + -9a = 5(7 + 2a) 36 + -9a = (7 * 5 + 2a * 5) 36 + -9a = (35 + 10a) Solving 36 + -9a = 35 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 36 + -9a + -10a = 35 + 10a + -10a Combine like terms: -9a + -10a = -19a 36 + -19a = 35 + 10a + -10a Combine like terms: 10a + -10a = 0 36 + -19a = 35 + 0 36 + -19a = 35 Add '-36' to each side of the equation. 36 + -36 + -19a = 35 + -36 Combine like terms: 36 + -36 = 0 0 + -19a = 35 + -36 -19a = 35 + -36 Combine like terms: 35 + -36 = -1 -19a = -1 Divide each side by '-19'. a = 0.05263157895 Simplifying a = 0.05263157895
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