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Simplifying 32 + 6a = -8(1 + -2a) 32 + 6a = (1 * -8 + -2a * -8) 32 + 6a = (-8 + 16a) Solving 32 + 6a = -8 + 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. 32 + 6a + -16a = -8 + 16a + -16a Combine like terms: 6a + -16a = -10a 32 + -10a = -8 + 16a + -16a Combine like terms: 16a + -16a = 0 32 + -10a = -8 + 0 32 + -10a = -8 Add '-32' to each side of the equation. 32 + -32 + -10a = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -10a = -8 + -32 -10a = -8 + -32 Combine like terms: -8 + -32 = -40 -10a = -40 Divide each side by '-10'. a = 4 Simplifying a = 4
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