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Simplifying 35 + -16(c + -1) = c Reorder the terms: 35 + -16(-1 + c) = c 35 + (-1 * -16 + c * -16) = c 35 + (16 + -16c) = c Combine like terms: 35 + 16 = 51 51 + -16c = c Solving 51 + -16c = 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. 51 + -16c + -1c = c + -1c Combine like terms: -16c + -1c = -17c 51 + -17c = c + -1c Combine like terms: c + -1c = 0 51 + -17c = 0 Add '-51' to each side of the equation. 51 + -51 + -17c = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -17c = 0 + -51 -17c = 0 + -51 Combine like terms: 0 + -51 = -51 -17c = -51 Divide each side by '-17'. c = 3 Simplifying c = 3
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