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Simplifying -7(8 + a) = -38 + 2a (8 * -7 + a * -7) = -38 + 2a (-56 + -7a) = -38 + 2a Solving -56 + -7a = -38 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -56 + -7a + -2a = -38 + 2a + -2a Combine like terms: -7a + -2a = -9a -56 + -9a = -38 + 2a + -2a Combine like terms: 2a + -2a = 0 -56 + -9a = -38 + 0 -56 + -9a = -38 Add '56' to each side of the equation. -56 + 56 + -9a = -38 + 56 Combine like terms: -56 + 56 = 0 0 + -9a = -38 + 56 -9a = -38 + 56 Combine like terms: -38 + 56 = 18 -9a = 18 Divide each side by '-9'. a = -2 Simplifying a = -2
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