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Simplifying 4(c + -2) + 6 = 5 + c + -7 Reorder the terms: 4(-2 + c) + 6 = 5 + c + -7 (-2 * 4 + c * 4) + 6 = 5 + c + -7 (-8 + 4c) + 6 = 5 + c + -7 Reorder the terms: -8 + 6 + 4c = 5 + c + -7 Combine like terms: -8 + 6 = -2 -2 + 4c = 5 + c + -7 Reorder the terms: -2 + 4c = 5 + -7 + c Combine like terms: 5 + -7 = -2 -2 + 4c = -2 + c Add '2' to each side of the equation. -2 + 2 + 4c = -2 + 2 + c Combine like terms: -2 + 2 = 0 0 + 4c = -2 + 2 + c 4c = -2 + 2 + c Combine like terms: -2 + 2 = 0 4c = 0 + c 4c = c Solving 4c = 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. 4c + -1c = c + -1c Combine like terms: 4c + -1c = 3c 3c = c + -1c Combine like terms: c + -1c = 0 3c = 0 Divide each side by '3'. c = 0 Simplifying c = 0
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