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Simplifying 3(a + 12) = 5(2a + -8) Reorder the terms: 3(12 + a) = 5(2a + -8) (12 * 3 + a * 3) = 5(2a + -8) (36 + 3a) = 5(2a + -8) Reorder the terms: 36 + 3a = 5(-8 + 2a) 36 + 3a = (-8 * 5 + 2a * 5) 36 + 3a = (-40 + 10a) Solving 36 + 3a = -40 + 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 + 3a + -10a = -40 + 10a + -10a Combine like terms: 3a + -10a = -7a 36 + -7a = -40 + 10a + -10a Combine like terms: 10a + -10a = 0 36 + -7a = -40 + 0 36 + -7a = -40 Add '-36' to each side of the equation. 36 + -36 + -7a = -40 + -36 Combine like terms: 36 + -36 = 0 0 + -7a = -40 + -36 -7a = -40 + -36 Combine like terms: -40 + -36 = -76 -7a = -76 Divide each side by '-7'. a = 10.85714286 Simplifying a = 10.85714286
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