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Simplifying 4(a + -8) = 12a + -6 Reorder the terms: 4(-8 + a) = 12a + -6 (-8 * 4 + a * 4) = 12a + -6 (-32 + 4a) = 12a + -6 Reorder the terms: -32 + 4a = -6 + 12a Solving -32 + 4a = -6 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -32 + 4a + -12a = -6 + 12a + -12a Combine like terms: 4a + -12a = -8a -32 + -8a = -6 + 12a + -12a Combine like terms: 12a + -12a = 0 -32 + -8a = -6 + 0 -32 + -8a = -6 Add '32' to each side of the equation. -32 + 32 + -8a = -6 + 32 Combine like terms: -32 + 32 = 0 0 + -8a = -6 + 32 -8a = -6 + 32 Combine like terms: -6 + 32 = 26 -8a = 26 Divide each side by '-8'. a = -3.25 Simplifying a = -3.25
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