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Simplifying 4(a + -8) = -38 + 2a Reorder the terms: 4(-8 + a) = -38 + 2a (-8 * 4 + a * 4) = -38 + 2a (-32 + 4a) = -38 + 2a Solving -32 + 4a = -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. -32 + 4a + -2a = -38 + 2a + -2a Combine like terms: 4a + -2a = 2a -32 + 2a = -38 + 2a + -2a Combine like terms: 2a + -2a = 0 -32 + 2a = -38 + 0 -32 + 2a = -38 Add '32' to each side of the equation. -32 + 32 + 2a = -38 + 32 Combine like terms: -32 + 32 = 0 0 + 2a = -38 + 32 2a = -38 + 32 Combine like terms: -38 + 32 = -6 2a = -6 Divide each side by '2'. a = -3 Simplifying a = -3
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