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Simplifying 4(5a + -8) + 2a = 12a + -6 Reorder the terms: 4(-8 + 5a) + 2a = 12a + -6 (-8 * 4 + 5a * 4) + 2a = 12a + -6 (-32 + 20a) + 2a = 12a + -6 Combine like terms: 20a + 2a = 22a -32 + 22a = 12a + -6 Reorder the terms: -32 + 22a = -6 + 12a Solving -32 + 22a = -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 + 22a + -12a = -6 + 12a + -12a Combine like terms: 22a + -12a = 10a -32 + 10a = -6 + 12a + -12a Combine like terms: 12a + -12a = 0 -32 + 10a = -6 + 0 -32 + 10a = -6 Add '32' to each side of the equation. -32 + 32 + 10a = -6 + 32 Combine like terms: -32 + 32 = 0 0 + 10a = -6 + 32 10a = -6 + 32 Combine like terms: -6 + 32 = 26 10a = 26 Divide each side by '10'. a = 2.6 Simplifying a = 2.6
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