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Simplifying -8(7 + 4a) = -21 + 3a (7 * -8 + 4a * -8) = -21 + 3a (-56 + -32a) = -21 + 3a Solving -56 + -32a = -21 + 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. -56 + -32a + -3a = -21 + 3a + -3a Combine like terms: -32a + -3a = -35a -56 + -35a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 -56 + -35a = -21 + 0 -56 + -35a = -21 Add '56' to each side of the equation. -56 + 56 + -35a = -21 + 56 Combine like terms: -56 + 56 = 0 0 + -35a = -21 + 56 -35a = -21 + 56 Combine like terms: -21 + 56 = 35 -35a = 35 Divide each side by '-35'. a = -1 Simplifying a = -1
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