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Simplifying 3c + -7 = 5 + -1(4 + c) Reorder the terms: -7 + 3c = 5 + -1(4 + c) -7 + 3c = 5 + (4 * -1 + c * -1) -7 + 3c = 5 + (-4 + -1c) Combine like terms: 5 + -4 = 1 -7 + 3c = 1 + -1c Solving -7 + 3c = 1 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. -7 + 3c + c = 1 + -1c + c Combine like terms: 3c + c = 4c -7 + 4c = 1 + -1c + c Combine like terms: -1c + c = 0 -7 + 4c = 1 + 0 -7 + 4c = 1 Add '7' to each side of the equation. -7 + 7 + 4c = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4c = 1 + 7 4c = 1 + 7 Combine like terms: 1 + 7 = 8 4c = 8 Divide each side by '4'. c = 2 Simplifying c = 2
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