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Simplifying -12(1 + -4a) = 8(8 + 5a) + 12a (1 * -12 + -4a * -12) = 8(8 + 5a) + 12a (-12 + 48a) = 8(8 + 5a) + 12a -12 + 48a = (8 * 8 + 5a * 8) + 12a -12 + 48a = (64 + 40a) + 12a Combine like terms: 40a + 12a = 52a -12 + 48a = 64 + 52a Solving -12 + 48a = 64 + 52a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-52a' to each side of the equation. -12 + 48a + -52a = 64 + 52a + -52a Combine like terms: 48a + -52a = -4a -12 + -4a = 64 + 52a + -52a Combine like terms: 52a + -52a = 0 -12 + -4a = 64 + 0 -12 + -4a = 64 Add '12' to each side of the equation. -12 + 12 + -4a = 64 + 12 Combine like terms: -12 + 12 = 0 0 + -4a = 64 + 12 -4a = 64 + 12 Combine like terms: 64 + 12 = 76 -4a = 76 Divide each side by '-4'. a = -19 Simplifying a = -19
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