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Simplifying 10(c + -6) + 4 = 2 + c + -58 Reorder the terms: 10(-6 + c) + 4 = 2 + c + -58 (-6 * 10 + c * 10) + 4 = 2 + c + -58 (-60 + 10c) + 4 = 2 + c + -58 Reorder the terms: -60 + 4 + 10c = 2 + c + -58 Combine like terms: -60 + 4 = -56 -56 + 10c = 2 + c + -58 Reorder the terms: -56 + 10c = 2 + -58 + c Combine like terms: 2 + -58 = -56 -56 + 10c = -56 + c Add '56' to each side of the equation. -56 + 56 + 10c = -56 + 56 + c Combine like terms: -56 + 56 = 0 0 + 10c = -56 + 56 + c 10c = -56 + 56 + c Combine like terms: -56 + 56 = 0 10c = 0 + c 10c = c Solving 10c = 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. 10c + -1c = c + -1c Combine like terms: 10c + -1c = 9c 9c = c + -1c Combine like terms: c + -1c = 0 9c = 0 Divide each side by '9'. c = 0 Simplifying c = 0
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