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Simplifying 5(a + -12) = 8(3a + 2) Reorder the terms: 5(-12 + a) = 8(3a + 2) (-12 * 5 + a * 5) = 8(3a + 2) (-60 + 5a) = 8(3a + 2) Reorder the terms: -60 + 5a = 8(2 + 3a) -60 + 5a = (2 * 8 + 3a * 8) -60 + 5a = (16 + 24a) Solving -60 + 5a = 16 + 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. -60 + 5a + -24a = 16 + 24a + -24a Combine like terms: 5a + -24a = -19a -60 + -19a = 16 + 24a + -24a Combine like terms: 24a + -24a = 0 -60 + -19a = 16 + 0 -60 + -19a = 16 Add '60' to each side of the equation. -60 + 60 + -19a = 16 + 60 Combine like terms: -60 + 60 = 0 0 + -19a = 16 + 60 -19a = 16 + 60 Combine like terms: 16 + 60 = 76 -19a = 76 Divide each side by '-19'. a = -4 Simplifying a = -4
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