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Simplifying 8(a + 7) + -6(-9 + -3) = 0 Reorder the terms: 8(7 + a) + -6(-9 + -3) = 0 (7 * 8 + a * 8) + -6(-9 + -3) = 0 (56 + 8a) + -6(-9 + -3) = 0 Combine like terms: -9 + -3 = -12 56 + 8a + -6(-12) = 0 Multiply -6 * -12 56 + 8a + 72 = 0 Reorder the terms: 56 + 72 + 8a = 0 Combine like terms: 56 + 72 = 128 128 + 8a = 0 Solving 128 + 8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-128' to each side of the equation. 128 + -128 + 8a = 0 + -128 Combine like terms: 128 + -128 = 0 0 + 8a = 0 + -128 8a = 0 + -128 Combine like terms: 0 + -128 = -128 8a = -128 Divide each side by '8'. a = -16 Simplifying a = -16
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