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Simplifying c + 3(c + 3) + -4 = 4 + 6(2c + -1) Reorder the terms: c + 3(3 + c) + -4 = 4 + 6(2c + -1) c + (3 * 3 + c * 3) + -4 = 4 + 6(2c + -1) c + (9 + 3c) + -4 = 4 + 6(2c + -1) Reorder the terms: 9 + -4 + c + 3c = 4 + 6(2c + -1) Combine like terms: 9 + -4 = 5 5 + c + 3c = 4 + 6(2c + -1) Combine like terms: c + 3c = 4c 5 + 4c = 4 + 6(2c + -1) Reorder the terms: 5 + 4c = 4 + 6(-1 + 2c) 5 + 4c = 4 + (-1 * 6 + 2c * 6) 5 + 4c = 4 + (-6 + 12c) Combine like terms: 4 + -6 = -2 5 + 4c = -2 + 12c Solving 5 + 4c = -2 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 5 + 4c + -12c = -2 + 12c + -12c Combine like terms: 4c + -12c = -8c 5 + -8c = -2 + 12c + -12c Combine like terms: 12c + -12c = 0 5 + -8c = -2 + 0 5 + -8c = -2 Add '-5' to each side of the equation. 5 + -5 + -8c = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -8c = -2 + -5 -8c = -2 + -5 Combine like terms: -2 + -5 = -7 -8c = -7 Divide each side by '-8'. c = 0.875 Simplifying c = 0.875
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