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Simplifying 7(4tc) = 6(c + -4) Remove parenthesis around (4ct) 7 * 4ct = 6(c + -4) Multiply 7 * 4 28ct = 6(c + -4) Reorder the terms: 28ct = 6(-4 + c) 28ct = (-4 * 6 + c * 6) 28ct = (-24 + 6c) Solving 28ct = -24 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -6c + 28ct = -24 + 6c + -6c Combine like terms: 6c + -6c = 0 -6c + 28ct = -24 + 0 -6c + 28ct = -24 Reorder the terms: 24 + -6c + 28ct = -24 + 24 Combine like terms: -24 + 24 = 0 24 + -6c + 28ct = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -3c + 14ct) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -3c + 14ct)' equal to zero and attempt to solve: Simplifying 12 + -3c + 14ct = 0 Solving 12 + -3c + 14ct = 0 Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -3c + -12 + 14ct = 0 + -12 Reorder the terms: 12 + -12 + -3c + 14ct = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3c + 14ct = 0 + -12 -3c + 14ct = 0 + -12 Combine like terms: 0 + -12 = -12 -3c + 14ct = -12 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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