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Simplifying 4(3c + -5) + -5c = c + 22 Reorder the terms: 4(-5 + 3c) + -5c = c + 22 (-5 * 4 + 3c * 4) + -5c = c + 22 (-20 + 12c) + -5c = c + 22 Combine like terms: 12c + -5c = 7c -20 + 7c = c + 22 Reorder the terms: -20 + 7c = 22 + c Solving -20 + 7c = 22 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -20 + 7c + -1c = 22 + c + -1c Combine like terms: 7c + -1c = 6c -20 + 6c = 22 + c + -1c Combine like terms: c + -1c = 0 -20 + 6c = 22 + 0 -20 + 6c = 22 Add '20' to each side of the equation. -20 + 20 + 6c = 22 + 20 Combine like terms: -20 + 20 = 0 0 + 6c = 22 + 20 6c = 22 + 20 Combine like terms: 22 + 20 = 42 6c = 42 Divide each side by '6'. c = 7 Simplifying c = 7
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