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Simplifying 8a + 38 = -3(6 + -5a) Reorder the terms: 38 + 8a = -3(6 + -5a) 38 + 8a = (6 * -3 + -5a * -3) 38 + 8a = (-18 + 15a) Solving 38 + 8a = -18 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 38 + 8a + -15a = -18 + 15a + -15a Combine like terms: 8a + -15a = -7a 38 + -7a = -18 + 15a + -15a Combine like terms: 15a + -15a = 0 38 + -7a = -18 + 0 38 + -7a = -18 Add '-38' to each side of the equation. 38 + -38 + -7a = -18 + -38 Combine like terms: 38 + -38 = 0 0 + -7a = -18 + -38 -7a = -18 + -38 Combine like terms: -18 + -38 = -56 -7a = -56 Divide each side by '-7'. a = 8 Simplifying a = 8
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