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Simplifying 8(3a + -2) + -13a = 5(12 + -3a) + 7a Reorder the terms: 8(-2 + 3a) + -13a = 5(12 + -3a) + 7a (-2 * 8 + 3a * 8) + -13a = 5(12 + -3a) + 7a (-16 + 24a) + -13a = 5(12 + -3a) + 7a Combine like terms: 24a + -13a = 11a -16 + 11a = 5(12 + -3a) + 7a -16 + 11a = (12 * 5 + -3a * 5) + 7a -16 + 11a = (60 + -15a) + 7a Combine like terms: -15a + 7a = -8a -16 + 11a = 60 + -8a Solving -16 + 11a = 60 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -16 + 11a + 8a = 60 + -8a + 8a Combine like terms: 11a + 8a = 19a -16 + 19a = 60 + -8a + 8a Combine like terms: -8a + 8a = 0 -16 + 19a = 60 + 0 -16 + 19a = 60 Add '16' to each side of the equation. -16 + 16 + 19a = 60 + 16 Combine like terms: -16 + 16 = 0 0 + 19a = 60 + 16 19a = 60 + 16 Combine like terms: 60 + 16 = 76 19a = 76 Divide each side by '19'. a = 4 Simplifying a = 4
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