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Simplifying 2(6a + -6) + 8(a + -6) = 40 Reorder the terms: 2(-6 + 6a) + 8(a + -6) = 40 (-6 * 2 + 6a * 2) + 8(a + -6) = 40 (-12 + 12a) + 8(a + -6) = 40 Reorder the terms: -12 + 12a + 8(-6 + a) = 40 -12 + 12a + (-6 * 8 + a * 8) = 40 -12 + 12a + (-48 + 8a) = 40 Reorder the terms: -12 + -48 + 12a + 8a = 40 Combine like terms: -12 + -48 = -60 -60 + 12a + 8a = 40 Combine like terms: 12a + 8a = 20a -60 + 20a = 40 Solving -60 + 20a = 40 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 20a = 40 + 60 Combine like terms: -60 + 60 = 0 0 + 20a = 40 + 60 20a = 40 + 60 Combine like terms: 40 + 60 = 100 20a = 100 Divide each side by '20'. a = 5 Simplifying a = 5
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