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Simplifying 7 + -4(3 + -2a) = -24 + -3(a + 12) 7 + (3 * -4 + -2a * -4) = -24 + -3(a + 12) 7 + (-12 + 8a) = -24 + -3(a + 12) Combine like terms: 7 + -12 = -5 -5 + 8a = -24 + -3(a + 12) Reorder the terms: -5 + 8a = -24 + -3(12 + a) -5 + 8a = -24 + (12 * -3 + a * -3) -5 + 8a = -24 + (-36 + -3a) Combine like terms: -24 + -36 = -60 -5 + 8a = -60 + -3a Solving -5 + 8a = -60 + -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. -5 + 8a + 3a = -60 + -3a + 3a Combine like terms: 8a + 3a = 11a -5 + 11a = -60 + -3a + 3a Combine like terms: -3a + 3a = 0 -5 + 11a = -60 + 0 -5 + 11a = -60 Add '5' to each side of the equation. -5 + 5 + 11a = -60 + 5 Combine like terms: -5 + 5 = 0 0 + 11a = -60 + 5 11a = -60 + 5 Combine like terms: -60 + 5 = -55 11a = -55 Divide each side by '11'. a = -5 Simplifying a = -5
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