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Simplifying -6a + 16 = -2(3a + 6) + 4a Reorder the terms: 16 + -6a = -2(3a + 6) + 4a Reorder the terms: 16 + -6a = -2(6 + 3a) + 4a 16 + -6a = (6 * -2 + 3a * -2) + 4a 16 + -6a = (-12 + -6a) + 4a Combine like terms: -6a + 4a = -2a 16 + -6a = -12 + -2a Solving 16 + -6a = -12 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 16 + -6a + 2a = -12 + -2a + 2a Combine like terms: -6a + 2a = -4a 16 + -4a = -12 + -2a + 2a Combine like terms: -2a + 2a = 0 16 + -4a = -12 + 0 16 + -4a = -12 Add '-16' to each side of the equation. 16 + -16 + -4a = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -4a = -12 + -16 -4a = -12 + -16 Combine like terms: -12 + -16 = -28 -4a = -28 Divide each side by '-4'. a = 7 Simplifying a = 7
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