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Simplifying 50 = -2(a + -2) + 4(5a + 7) Reorder the terms: 50 = -2(-2 + a) + 4(5a + 7) 50 = (-2 * -2 + a * -2) + 4(5a + 7) 50 = (4 + -2a) + 4(5a + 7) Reorder the terms: 50 = 4 + -2a + 4(7 + 5a) 50 = 4 + -2a + (7 * 4 + 5a * 4) 50 = 4 + -2a + (28 + 20a) Reorder the terms: 50 = 4 + 28 + -2a + 20a Combine like terms: 4 + 28 = 32 50 = 32 + -2a + 20a Combine like terms: -2a + 20a = 18a 50 = 32 + 18a Solving 50 = 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. 50 + -18a = 32 + 18a + -18a Combine like terms: 18a + -18a = 0 50 + -18a = 32 + 0 50 + -18a = 32 Add '-50' to each side of the equation. 50 + -50 + -18a = 32 + -50 Combine like terms: 50 + -50 = 0 0 + -18a = 32 + -50 -18a = 32 + -50 Combine like terms: 32 + -50 = -18 -18a = -18 Divide each side by '-18'. a = 1 Simplifying a = 1
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