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Simplifying 5(a + -12) = 8(a + 8) Reorder the terms: 5(-12 + a) = 8(a + 8) (-12 * 5 + a * 5) = 8(a + 8) (-60 + 5a) = 8(a + 8) Reorder the terms: -60 + 5a = 8(8 + a) -60 + 5a = (8 * 8 + a * 8) -60 + 5a = (64 + 8a) Solving -60 + 5a = 64 + 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. -60 + 5a + -8a = 64 + 8a + -8a Combine like terms: 5a + -8a = -3a -60 + -3a = 64 + 8a + -8a Combine like terms: 8a + -8a = 0 -60 + -3a = 64 + 0 -60 + -3a = 64 Add '60' to each side of the equation. -60 + 60 + -3a = 64 + 60 Combine like terms: -60 + 60 = 0 0 + -3a = 64 + 60 -3a = 64 + 60 Combine like terms: 64 + 60 = 124 -3a = 124 Divide each side by '-3'. a = -41.33333333 Simplifying a = -41.33333333
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