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Simplifying -6(4 + -1t) = 12tr (4 * -6 + -1t * -6) = 12tr (-24 + 6t) = 12tr Solving -24 + 6t = 12rt Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12rt' to each side of the equation. -24 + -12rt + 6t = 12rt + -12rt Combine like terms: 12rt + -12rt = 0 -24 + -12rt + 6t = 0 Add '24' to each side of the equation. -24 + -12rt + 24 + 6t = 0 + 24 Reorder the terms: -24 + 24 + -12rt + 6t = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -12rt + 6t = 0 + 24 -12rt + 6t = 0 + 24 Combine like terms: 0 + 24 = 24 -12rt + 6t = 24 Reorder the terms: -24 + -12rt + 6t = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + -12rt + 6t = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-4 + -2rt + t) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-4 + -2rt + t)' equal to zero and attempt to solve: Simplifying -4 + -2rt + t = 0 Solving -4 + -2rt + t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -2rt + 4 + t = 0 + 4 Reorder the terms: -4 + 4 + -2rt + t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2rt + t = 0 + 4 -2rt + t = 0 + 4 Combine like terms: 0 + 4 = 4 -2rt + t = 4 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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