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Simplifying -7(a + 8) + 4(-1a + -4) = -3a + -2a Reorder the terms: -7(8 + a) + 4(-1a + -4) = -3a + -2a (8 * -7 + a * -7) + 4(-1a + -4) = -3a + -2a (-56 + -7a) + 4(-1a + -4) = -3a + -2a Reorder the terms: -56 + -7a + 4(-4 + -1a) = -3a + -2a -56 + -7a + (-4 * 4 + -1a * 4) = -3a + -2a -56 + -7a + (-16 + -4a) = -3a + -2a Reorder the terms: -56 + -16 + -7a + -4a = -3a + -2a Combine like terms: -56 + -16 = -72 -72 + -7a + -4a = -3a + -2a Combine like terms: -7a + -4a = -11a -72 + -11a = -3a + -2a Combine like terms: -3a + -2a = -5a -72 + -11a = -5a Solving -72 + -11a = -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -72 + -11a + 5a = -5a + 5a Combine like terms: -11a + 5a = -6a -72 + -6a = -5a + 5a Combine like terms: -5a + 5a = 0 -72 + -6a = 0 Add '72' to each side of the equation. -72 + 72 + -6a = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -6a = 0 + 72 -6a = 0 + 72 Combine like terms: 0 + 72 = 72 -6a = 72 Divide each side by '-6'. a = -12 Simplifying a = -12
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