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Simplifying 10c + -1 = 13c + -7 Reorder the terms: -1 + 10c = 13c + -7 Reorder the terms: -1 + 10c = -7 + 13c Solving -1 + 10c = -7 + 13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13c' to each side of the equation. -1 + 10c + -13c = -7 + 13c + -13c Combine like terms: 10c + -13c = -3c -1 + -3c = -7 + 13c + -13c Combine like terms: 13c + -13c = 0 -1 + -3c = -7 + 0 -1 + -3c = -7 Add '1' to each side of the equation. -1 + 1 + -3c = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -3c = -7 + 1 -3c = -7 + 1 Combine like terms: -7 + 1 = -6 -3c = -6 Divide each side by '-3'. c = 2 Simplifying c = 2
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