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Simplifying -4(7 + 4a) + -8 = -13 + 7a (7 * -4 + 4a * -4) + -8 = -13 + 7a (-28 + -16a) + -8 = -13 + 7a Reorder the terms: -28 + -8 + -16a = -13 + 7a Combine like terms: -28 + -8 = -36 -36 + -16a = -13 + 7a Solving -36 + -16a = -13 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -36 + -16a + -7a = -13 + 7a + -7a Combine like terms: -16a + -7a = -23a -36 + -23a = -13 + 7a + -7a Combine like terms: 7a + -7a = 0 -36 + -23a = -13 + 0 -36 + -23a = -13 Add '36' to each side of the equation. -36 + 36 + -23a = -13 + 36 Combine like terms: -36 + 36 = 0 0 + -23a = -13 + 36 -23a = -13 + 36 Combine like terms: -13 + 36 = 23 -23a = 23 Divide each side by '-23'. a = -1 Simplifying a = -1
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