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Simplifying 5[-2 + -6(a + -5)] = 0 Reorder the terms: 5[-2 + -6(-5 + a)] = 0 5[-2 + (-5 * -6 + a * -6)] = 0 5[-2 + (30 + -6a)] = 0 Combine like terms: -2 + 30 = 28 5[28 + -6a] = 0 [28 * 5 + -6a * 5] = 0 [140 + -30a] = 0 Solving 140 + -30a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + -30a = 0 + -140 Combine like terms: 140 + -140 = 0 0 + -30a = 0 + -140 -30a = 0 + -140 Combine like terms: 0 + -140 = -140 -30a = -140 Divide each side by '-30'. a = 4.666666667 Simplifying a = 4.666666667
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