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Simplifying 7c + -42 = 3c + -12 Reorder the terms: -42 + 7c = 3c + -12 Reorder the terms: -42 + 7c = -12 + 3c Solving -42 + 7c = -12 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -42 + 7c + -3c = -12 + 3c + -3c Combine like terms: 7c + -3c = 4c -42 + 4c = -12 + 3c + -3c Combine like terms: 3c + -3c = 0 -42 + 4c = -12 + 0 -42 + 4c = -12 Add '42' to each side of the equation. -42 + 42 + 4c = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 4c = -12 + 42 4c = -12 + 42 Combine like terms: -12 + 42 = 30 4c = 30 Divide each side by '4'. c = 7.5 Simplifying c = 7.5
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