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Simplifying 6(a + -4) + 6 = 2(5a + 2) Reorder the terms: 6(-4 + a) + 6 = 2(5a + 2) (-4 * 6 + a * 6) + 6 = 2(5a + 2) (-24 + 6a) + 6 = 2(5a + 2) Reorder the terms: -24 + 6 + 6a = 2(5a + 2) Combine like terms: -24 + 6 = -18 -18 + 6a = 2(5a + 2) Reorder the terms: -18 + 6a = 2(2 + 5a) -18 + 6a = (2 * 2 + 5a * 2) -18 + 6a = (4 + 10a) Solving -18 + 6a = 4 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -18 + 6a + -10a = 4 + 10a + -10a Combine like terms: 6a + -10a = -4a -18 + -4a = 4 + 10a + -10a Combine like terms: 10a + -10a = 0 -18 + -4a = 4 + 0 -18 + -4a = 4 Add '18' to each side of the equation. -18 + 18 + -4a = 4 + 18 Combine like terms: -18 + 18 = 0 0 + -4a = 4 + 18 -4a = 4 + 18 Combine like terms: 4 + 18 = 22 -4a = 22 Divide each side by '-4'. a = -5.5 Simplifying a = -5.5
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