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Simplifying 8 + -4(8a + -7) = 4 + -6(-12 + 2a) Reorder the terms: 8 + -4(-7 + 8a) = 4 + -6(-12 + 2a) 8 + (-7 * -4 + 8a * -4) = 4 + -6(-12 + 2a) 8 + (28 + -32a) = 4 + -6(-12 + 2a) Combine like terms: 8 + 28 = 36 36 + -32a = 4 + -6(-12 + 2a) 36 + -32a = 4 + (-12 * -6 + 2a * -6) 36 + -32a = 4 + (72 + -12a) Combine like terms: 4 + 72 = 76 36 + -32a = 76 + -12a Solving 36 + -32a = 76 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 36 + -32a + 12a = 76 + -12a + 12a Combine like terms: -32a + 12a = -20a 36 + -20a = 76 + -12a + 12a Combine like terms: -12a + 12a = 0 36 + -20a = 76 + 0 36 + -20a = 76 Add '-36' to each side of the equation. 36 + -36 + -20a = 76 + -36 Combine like terms: 36 + -36 = 0 0 + -20a = 76 + -36 -20a = 76 + -36 Combine like terms: 76 + -36 = 40 -20a = 40 Divide each side by '-20'. a = -2 Simplifying a = -2
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