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Simplifying 4(5a + -8) + 2 = 12a + 6 Reorder the terms: 4(-8 + 5a) + 2 = 12a + 6 (-8 * 4 + 5a * 4) + 2 = 12a + 6 (-32 + 20a) + 2 = 12a + 6 Reorder the terms: -32 + 2 + 20a = 12a + 6 Combine like terms: -32 + 2 = -30 -30 + 20a = 12a + 6 Reorder the terms: -30 + 20a = 6 + 12a Solving -30 + 20a = 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. -30 + 20a + -12a = 6 + 12a + -12a Combine like terms: 20a + -12a = 8a -30 + 8a = 6 + 12a + -12a Combine like terms: 12a + -12a = 0 -30 + 8a = 6 + 0 -30 + 8a = 6 Add '30' to each side of the equation. -30 + 30 + 8a = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 8a = 6 + 30 8a = 6 + 30 Combine like terms: 6 + 30 = 36 8a = 36 Divide each side by '8'. a = 4.5 Simplifying a = 4.5
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