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Simplifying 4(8a + 3) = -38 + 7a Reorder the terms: 4(3 + 8a) = -38 + 7a (3 * 4 + 8a * 4) = -38 + 7a (12 + 32a) = -38 + 7a Solving 12 + 32a = -38 + 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. 12 + 32a + -7a = -38 + 7a + -7a Combine like terms: 32a + -7a = 25a 12 + 25a = -38 + 7a + -7a Combine like terms: 7a + -7a = 0 12 + 25a = -38 + 0 12 + 25a = -38 Add '-12' to each side of the equation. 12 + -12 + 25a = -38 + -12 Combine like terms: 12 + -12 = 0 0 + 25a = -38 + -12 25a = -38 + -12 Combine like terms: -38 + -12 = -50 25a = -50 Divide each side by '25'. a = -2 Simplifying a = -2
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