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Simplifying c + 2(19) + 3 = 19 + 5c + -30 Multiply 2 * 19 c + 38 + 3 = 19 + 5c + -30 Reorder the terms: 38 + 3 + c = 19 + 5c + -30 Combine like terms: 38 + 3 = 41 41 + c = 19 + 5c + -30 Reorder the terms: 41 + c = 19 + -30 + 5c Combine like terms: 19 + -30 = -11 41 + c = -11 + 5c Solving 41 + c = -11 + 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. 41 + c + -5c = -11 + 5c + -5c Combine like terms: c + -5c = -4c 41 + -4c = -11 + 5c + -5c Combine like terms: 5c + -5c = 0 41 + -4c = -11 + 0 41 + -4c = -11 Add '-41' to each side of the equation. 41 + -41 + -4c = -11 + -41 Combine like terms: 41 + -41 = 0 0 + -4c = -11 + -41 -4c = -11 + -41 Combine like terms: -11 + -41 = -52 -4c = -52 Divide each side by '-4'. c = 13 Simplifying c = 13
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