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Simplifying 8a + -42 = -3(a + 4) Reorder the terms: -42 + 8a = -3(a + 4) Reorder the terms: -42 + 8a = -3(4 + a) -42 + 8a = (4 * -3 + a * -3) -42 + 8a = (-12 + -3a) Solving -42 + 8a = -12 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -42 + 8a + 3a = -12 + -3a + 3a Combine like terms: 8a + 3a = 11a -42 + 11a = -12 + -3a + 3a Combine like terms: -3a + 3a = 0 -42 + 11a = -12 + 0 -42 + 11a = -12 Add '42' to each side of the equation. -42 + 42 + 11a = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 11a = -12 + 42 11a = -12 + 42 Combine like terms: -12 + 42 = 30 11a = 30 Divide each side by '11'. a = 2.727272727 Simplifying a = 2.727272727
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