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Simplifying 4(2a + -6) + -8 = 46 Reorder the terms: 4(-6 + 2a) + -8 = 46 (-6 * 4 + 2a * 4) + -8 = 46 (-24 + 8a) + -8 = 46 Reorder the terms: -24 + -8 + 8a = 46 Combine like terms: -24 + -8 = -32 -32 + 8a = 46 Solving -32 + 8a = 46 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 8a = 46 + 32 Combine like terms: -32 + 32 = 0 0 + 8a = 46 + 32 8a = 46 + 32 Combine like terms: 46 + 32 = 78 8a = 78 Divide each side by '8'. a = 9.75 Simplifying a = 9.75
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