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Simplifying 2(a + -2) = 6(a + 8) Reorder the terms: 2(-2 + a) = 6(a + 8) (-2 * 2 + a * 2) = 6(a + 8) (-4 + 2a) = 6(a + 8) Reorder the terms: -4 + 2a = 6(8 + a) -4 + 2a = (8 * 6 + a * 6) -4 + 2a = (48 + 6a) Solving -4 + 2a = 48 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -4 + 2a + -6a = 48 + 6a + -6a Combine like terms: 2a + -6a = -4a -4 + -4a = 48 + 6a + -6a Combine like terms: 6a + -6a = 0 -4 + -4a = 48 + 0 -4 + -4a = 48 Add '4' to each side of the equation. -4 + 4 + -4a = 48 + 4 Combine like terms: -4 + 4 = 0 0 + -4a = 48 + 4 -4a = 48 + 4 Combine like terms: 48 + 4 = 52 -4a = 52 Divide each side by '-4'. a = -13 Simplifying a = -13
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