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Simplifying 38 + -8a = 6 + -8(1 + -4a) 38 + -8a = 6 + (1 * -8 + -4a * -8) 38 + -8a = 6 + (-8 + 32a) Combine like terms: 6 + -8 = -2 38 + -8a = -2 + 32a Solving 38 + -8a = -2 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. 38 + -8a + -32a = -2 + 32a + -32a Combine like terms: -8a + -32a = -40a 38 + -40a = -2 + 32a + -32a Combine like terms: 32a + -32a = 0 38 + -40a = -2 + 0 38 + -40a = -2 Add '-38' to each side of the equation. 38 + -38 + -40a = -2 + -38 Combine like terms: 38 + -38 = 0 0 + -40a = -2 + -38 -40a = -2 + -38 Combine like terms: -2 + -38 = -40 -40a = -40 Divide each side by '-40'. a = 1 Simplifying a = 1
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