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Simplifying 2(c + -6) + 7c = 5 + -3(c + -2) Reorder the terms: 2(-6 + c) + 7c = 5 + -3(c + -2) (-6 * 2 + c * 2) + 7c = 5 + -3(c + -2) (-12 + 2c) + 7c = 5 + -3(c + -2) Combine like terms: 2c + 7c = 9c -12 + 9c = 5 + -3(c + -2) Reorder the terms: -12 + 9c = 5 + -3(-2 + c) -12 + 9c = 5 + (-2 * -3 + c * -3) -12 + 9c = 5 + (6 + -3c) Combine like terms: 5 + 6 = 11 -12 + 9c = 11 + -3c Solving -12 + 9c = 11 + -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. -12 + 9c + 3c = 11 + -3c + 3c Combine like terms: 9c + 3c = 12c -12 + 12c = 11 + -3c + 3c Combine like terms: -3c + 3c = 0 -12 + 12c = 11 + 0 -12 + 12c = 11 Add '12' to each side of the equation. -12 + 12 + 12c = 11 + 12 Combine like terms: -12 + 12 = 0 0 + 12c = 11 + 12 12c = 11 + 12 Combine like terms: 11 + 12 = 23 12c = 23 Divide each side by '12'. c = 1.916666667 Simplifying c = 1.916666667
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