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Simplifying 8(4 + -2a) + 7(4a + -7) = 0 (4 * 8 + -2a * 8) + 7(4a + -7) = 0 (32 + -16a) + 7(4a + -7) = 0 Reorder the terms: 32 + -16a + 7(-7 + 4a) = 0 32 + -16a + (-7 * 7 + 4a * 7) = 0 32 + -16a + (-49 + 28a) = 0 Reorder the terms: 32 + -49 + -16a + 28a = 0 Combine like terms: 32 + -49 = -17 -17 + -16a + 28a = 0 Combine like terms: -16a + 28a = 12a -17 + 12a = 0 Solving -17 + 12a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 12a = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 12a = 0 + 17 12a = 0 + 17 Combine like terms: 0 + 17 = 17 12a = 17 Divide each side by '12'. a = 1.416666667 Simplifying a = 1.416666667
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