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Simplifying -2a + 2a = -4(4 + 6a) + 8(-7 + 4a) Combine like terms: -2a + 2a = 0 0 = -4(4 + 6a) + 8(-7 + 4a) 0 = (4 * -4 + 6a * -4) + 8(-7 + 4a) 0 = (-16 + -24a) + 8(-7 + 4a) 0 = -16 + -24a + (-7 * 8 + 4a * 8) 0 = -16 + -24a + (-56 + 32a) Reorder the terms: 0 = -16 + -56 + -24a + 32a Combine like terms: -16 + -56 = -72 0 = -72 + -24a + 32a Combine like terms: -24a + 32a = 8a 0 = -72 + 8a Solving 0 = -72 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 0 + -8a = -72 + 8a + -8a Remove the zero: -8a = -72 + 8a + -8a Combine like terms: 8a + -8a = 0 -8a = -72 + 0 -8a = -72 Divide each side by '-8'. a = 9 Simplifying a = 9
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