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Simplifying 12(7a + -1) = 11(8a + 3) Reorder the terms: 12(-1 + 7a) = 11(8a + 3) (-1 * 12 + 7a * 12) = 11(8a + 3) (-12 + 84a) = 11(8a + 3) Reorder the terms: -12 + 84a = 11(3 + 8a) -12 + 84a = (3 * 11 + 8a * 11) -12 + 84a = (33 + 88a) Solving -12 + 84a = 33 + 88a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-88a' to each side of the equation. -12 + 84a + -88a = 33 + 88a + -88a Combine like terms: 84a + -88a = -4a -12 + -4a = 33 + 88a + -88a Combine like terms: 88a + -88a = 0 -12 + -4a = 33 + 0 -12 + -4a = 33 Add '12' to each side of the equation. -12 + 12 + -4a = 33 + 12 Combine like terms: -12 + 12 = 0 0 + -4a = 33 + 12 -4a = 33 + 12 Combine like terms: 33 + 12 = 45 -4a = 45 Divide each side by '-4'. a = -11.25 Simplifying a = -11.25
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