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Simplifying 5c + 6 = -4 + 4(c + 8) Reorder the terms: 6 + 5c = -4 + 4(c + 8) Reorder the terms: 6 + 5c = -4 + 4(8 + c) 6 + 5c = -4 + (8 * 4 + c * 4) 6 + 5c = -4 + (32 + 4c) Combine like terms: -4 + 32 = 28 6 + 5c = 28 + 4c Solving 6 + 5c = 28 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 6 + 5c + -4c = 28 + 4c + -4c Combine like terms: 5c + -4c = 1c 6 + 1c = 28 + 4c + -4c Combine like terms: 4c + -4c = 0 6 + 1c = 28 + 0 6 + 1c = 28 Add '-6' to each side of the equation. 6 + -6 + 1c = 28 + -6 Combine like terms: 6 + -6 = 0 0 + 1c = 28 + -6 1c = 28 + -6 Combine like terms: 28 + -6 = 22 1c = 22 Divide each side by '1'. c = 22 Simplifying c = 22
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