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Simplifying 5(2c + 7) = 2(a + 4) Reorder the terms: 5(7 + 2c) = 2(a + 4) (7 * 5 + 2c * 5) = 2(a + 4) (35 + 10c) = 2(a + 4) Reorder the terms: 35 + 10c = 2(4 + a) 35 + 10c = (4 * 2 + a * 2) 35 + 10c = (8 + 2a) Solving 35 + 10c = 8 + 2a Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 10c = 8 + -35 + 2a Combine like terms: 35 + -35 = 0 0 + 10c = 8 + -35 + 2a 10c = 8 + -35 + 2a Combine like terms: 8 + -35 = -27 10c = -27 + 2a Divide each side by '10'. c = -2.7 + 0.2a Simplifying c = -2.7 + 0.2a
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