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Simplifying 4(c + -5) + 2 = c + 3 Reorder the terms: 4(-5 + c) + 2 = c + 3 (-5 * 4 + c * 4) + 2 = c + 3 (-20 + 4c) + 2 = c + 3 Reorder the terms: -20 + 2 + 4c = c + 3 Combine like terms: -20 + 2 = -18 -18 + 4c = c + 3 Reorder the terms: -18 + 4c = 3 + c Solving -18 + 4c = 3 + 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. -18 + 4c + -1c = 3 + c + -1c Combine like terms: 4c + -1c = 3c -18 + 3c = 3 + c + -1c Combine like terms: c + -1c = 0 -18 + 3c = 3 + 0 -18 + 3c = 3 Add '18' to each side of the equation. -18 + 18 + 3c = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 3c = 3 + 18 3c = 3 + 18 Combine like terms: 3 + 18 = 21 3c = 21 Divide each side by '3'. c = 7 Simplifying c = 7
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