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Simplifying -22 + 6a = -8(4a + 2) Reorder the terms: -22 + 6a = -8(2 + 4a) -22 + 6a = (2 * -8 + 4a * -8) -22 + 6a = (-16 + -32a) Solving -22 + 6a = -16 + -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. -22 + 6a + 32a = -16 + -32a + 32a Combine like terms: 6a + 32a = 38a -22 + 38a = -16 + -32a + 32a Combine like terms: -32a + 32a = 0 -22 + 38a = -16 + 0 -22 + 38a = -16 Add '22' to each side of the equation. -22 + 22 + 38a = -16 + 22 Combine like terms: -22 + 22 = 0 0 + 38a = -16 + 22 38a = -16 + 22 Combine like terms: -16 + 22 = 6 38a = 6 Divide each side by '38'. a = 0.1578947368 Simplifying a = 0.1578947368
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