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Simplifying 12 + -4a = -7a + 4(-2a + -8) Reorder the terms: 12 + -4a = -7a + 4(-8 + -2a) 12 + -4a = -7a + (-8 * 4 + -2a * 4) 12 + -4a = -7a + (-32 + -8a) Reorder the terms: 12 + -4a = -32 + -7a + -8a Combine like terms: -7a + -8a = -15a 12 + -4a = -32 + -15a Solving 12 + -4a = -32 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. 12 + -4a + 15a = -32 + -15a + 15a Combine like terms: -4a + 15a = 11a 12 + 11a = -32 + -15a + 15a Combine like terms: -15a + 15a = 0 12 + 11a = -32 + 0 12 + 11a = -32 Add '-12' to each side of the equation. 12 + -12 + 11a = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 11a = -32 + -12 11a = -32 + -12 Combine like terms: -32 + -12 = -44 11a = -44 Divide each side by '11'. a = -4 Simplifying a = -4
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