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Simplifying -40 = -2a + 8(4 + -2a) -40 = -2a + (4 * 8 + -2a * 8) -40 = -2a + (32 + -16a) Reorder the terms: -40 = 32 + -2a + -16a Combine like terms: -2a + -16a = -18a -40 = 32 + -18a Solving -40 = 32 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. -40 + 18a = 32 + -18a + 18a Combine like terms: -18a + 18a = 0 -40 + 18a = 32 + 0 -40 + 18a = 32 Add '40' to each side of the equation. -40 + 40 + 18a = 32 + 40 Combine like terms: -40 + 40 = 0 0 + 18a = 32 + 40 18a = 32 + 40 Combine like terms: 32 + 40 = 72 18a = 72 Divide each side by '18'. a = 4 Simplifying a = 4
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