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Simplifying 6c + 10 = 12c + -38 Reorder the terms: 10 + 6c = 12c + -38 Reorder the terms: 10 + 6c = -38 + 12c Solving 10 + 6c = -38 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 10 + 6c + -12c = -38 + 12c + -12c Combine like terms: 6c + -12c = -6c 10 + -6c = -38 + 12c + -12c Combine like terms: 12c + -12c = 0 10 + -6c = -38 + 0 10 + -6c = -38 Add '-10' to each side of the equation. 10 + -10 + -6c = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -6c = -38 + -10 -6c = -38 + -10 Combine like terms: -38 + -10 = -48 -6c = -48 Divide each side by '-6'. c = 8 Simplifying c = 8
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