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Simplifying 38 + -2a = 8 + -4(6 + -4a) 38 + -2a = 8 + (6 * -4 + -4a * -4) 38 + -2a = 8 + (-24 + 16a) Combine like terms: 8 + -24 = -16 38 + -2a = -16 + 16a Solving 38 + -2a = -16 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 38 + -2a + -16a = -16 + 16a + -16a Combine like terms: -2a + -16a = -18a 38 + -18a = -16 + 16a + -16a Combine like terms: 16a + -16a = 0 38 + -18a = -16 + 0 38 + -18a = -16 Add '-38' to each side of the equation. 38 + -38 + -18a = -16 + -38 Combine like terms: 38 + -38 = 0 0 + -18a = -16 + -38 -18a = -16 + -38 Combine like terms: -16 + -38 = -54 -18a = -54 Divide each side by '-18'. a = 3 Simplifying a = 3
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