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Simplifying 5(c + 2) = 3(a + 1) + -5 Reorder the terms: 5(2 + c) = 3(a + 1) + -5 (2 * 5 + c * 5) = 3(a + 1) + -5 (10 + 5c) = 3(a + 1) + -5 Reorder the terms: 10 + 5c = 3(1 + a) + -5 10 + 5c = (1 * 3 + a * 3) + -5 10 + 5c = (3 + 3a) + -5 Reorder the terms: 10 + 5c = 3 + -5 + 3a Combine like terms: 3 + -5 = -2 10 + 5c = -2 + 3a Solving 10 + 5c = -2 + 3a Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5c = -2 + -10 + 3a Combine like terms: 10 + -10 = 0 0 + 5c = -2 + -10 + 3a 5c = -2 + -10 + 3a Combine like terms: -2 + -10 = -12 5c = -12 + 3a Divide each side by '5'. c = -2.4 + 0.6a Simplifying c = -2.4 + 0.6a
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