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Simplifying -8(8 + -2a) + 5(a + -2) = 52 (8 * -8 + -2a * -8) + 5(a + -2) = 52 (-64 + 16a) + 5(a + -2) = 52 Reorder the terms: -64 + 16a + 5(-2 + a) = 52 -64 + 16a + (-2 * 5 + a * 5) = 52 -64 + 16a + (-10 + 5a) = 52 Reorder the terms: -64 + -10 + 16a + 5a = 52 Combine like terms: -64 + -10 = -74 -74 + 16a + 5a = 52 Combine like terms: 16a + 5a = 21a -74 + 21a = 52 Solving -74 + 21a = 52 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + 21a = 52 + 74 Combine like terms: -74 + 74 = 0 0 + 21a = 52 + 74 21a = 52 + 74 Combine like terms: 52 + 74 = 126 21a = 126 Divide each side by '21'. a = 6 Simplifying a = 6
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