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Simplifying 6(a + -2) + -2(a + 3) = 8 Reorder the terms: 6(-2 + a) + -2(a + 3) = 8 (-2 * 6 + a * 6) + -2(a + 3) = 8 (-12 + 6a) + -2(a + 3) = 8 Reorder the terms: -12 + 6a + -2(3 + a) = 8 -12 + 6a + (3 * -2 + a * -2) = 8 -12 + 6a + (-6 + -2a) = 8 Reorder the terms: -12 + -6 + 6a + -2a = 8 Combine like terms: -12 + -6 = -18 -18 + 6a + -2a = 8 Combine like terms: 6a + -2a = 4a -18 + 4a = 8 Solving -18 + 4a = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 4a = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 4a = 8 + 18 4a = 8 + 18 Combine like terms: 8 + 18 = 26 4a = 26 Divide each side by '4'. a = 6.5 Simplifying a = 6.5
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