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Simplifying 3c + -7(-1c + 4) = 2 + -1(c + -4) + 6c Reorder the terms: 3c + -7(4 + -1c) = 2 + -1(c + -4) + 6c 3c + (4 * -7 + -1c * -7) = 2 + -1(c + -4) + 6c 3c + (-28 + 7c) = 2 + -1(c + -4) + 6c Reorder the terms: -28 + 3c + 7c = 2 + -1(c + -4) + 6c Combine like terms: 3c + 7c = 10c -28 + 10c = 2 + -1(c + -4) + 6c Reorder the terms: -28 + 10c = 2 + -1(-4 + c) + 6c -28 + 10c = 2 + (-4 * -1 + c * -1) + 6c -28 + 10c = 2 + (4 + -1c) + 6c Combine like terms: 2 + 4 = 6 -28 + 10c = 6 + -1c + 6c Combine like terms: -1c + 6c = 5c -28 + 10c = 6 + 5c Solving -28 + 10c = 6 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -28 + 10c + -5c = 6 + 5c + -5c Combine like terms: 10c + -5c = 5c -28 + 5c = 6 + 5c + -5c Combine like terms: 5c + -5c = 0 -28 + 5c = 6 + 0 -28 + 5c = 6 Add '28' to each side of the equation. -28 + 28 + 5c = 6 + 28 Combine like terms: -28 + 28 = 0 0 + 5c = 6 + 28 5c = 6 + 28 Combine like terms: 6 + 28 = 34 5c = 34 Divide each side by '5'. c = 6.8 Simplifying c = 6.8
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