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Simplifying 7 + -4(c + 5) = -5c + 3 Reorder the terms: 7 + -4(5 + c) = -5c + 3 7 + (5 * -4 + c * -4) = -5c + 3 7 + (-20 + -4c) = -5c + 3 Combine like terms: 7 + -20 = -13 -13 + -4c = -5c + 3 Reorder the terms: -13 + -4c = 3 + -5c Solving -13 + -4c = 3 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. -13 + -4c + 5c = 3 + -5c + 5c Combine like terms: -4c + 5c = 1c -13 + 1c = 3 + -5c + 5c Combine like terms: -5c + 5c = 0 -13 + 1c = 3 + 0 -13 + 1c = 3 Add '13' to each side of the equation. -13 + 13 + 1c = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 1c = 3 + 13 1c = 3 + 13 Combine like terms: 3 + 13 = 16 1c = 16 Divide each side by '1'. c = 16 Simplifying c = 16
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