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Simplifying -4(3c + 5) = 22 + -7c Reorder the terms: -4(5 + 3c) = 22 + -7c (5 * -4 + 3c * -4) = 22 + -7c (-20 + -12c) = 22 + -7c Solving -20 + -12c = 22 + -7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7c' to each side of the equation. -20 + -12c + 7c = 22 + -7c + 7c Combine like terms: -12c + 7c = -5c -20 + -5c = 22 + -7c + 7c Combine like terms: -7c + 7c = 0 -20 + -5c = 22 + 0 -20 + -5c = 22 Add '20' to each side of the equation. -20 + 20 + -5c = 22 + 20 Combine like terms: -20 + 20 = 0 0 + -5c = 22 + 20 -5c = 22 + 20 Combine like terms: 22 + 20 = 42 -5c = 42 Divide each side by '-5'. c = -8.4 Simplifying c = -8.4
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