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Simplifying 1(c + 19) + (10c + 3) = 143 Reorder the terms: 1(19 + c) + (10c + 3) = 143 (19 * 1 + c * 1) + (10c + 3) = 143 (19 + 1c) + (10c + 3) = 143 Reorder the terms: 19 + 1c + (3 + 10c) = 143 Remove parenthesis around (3 + 10c) 19 + 1c + 3 + 10c = 143 Reorder the terms: 19 + 3 + 1c + 10c = 143 Combine like terms: 19 + 3 = 22 22 + 1c + 10c = 143 Combine like terms: 1c + 10c = 11c 22 + 11c = 143 Solving 22 + 11c = 143 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 11c = 143 + -22 Combine like terms: 22 + -22 = 0 0 + 11c = 143 + -22 11c = 143 + -22 Combine like terms: 143 + -22 = 121 11c = 121 Divide each side by '11'. c = 11 Simplifying c = 11
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