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Simplifying 6x(2t + -4) = 48 + -6t Reorder the terms: 6x(-4 + 2t) = 48 + -6t (-4 * 6x + 2t * 6x) = 48 + -6t Reorder the terms: (12tx + -24x) = 48 + -6t (12tx + -24x) = 48 + -6t Solving 12tx + -24x = 48 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. 12tx + 6t + -24x = 48 + -6t + 6t Reorder the terms: 6t + 12tx + -24x = 48 + -6t + 6t Combine like terms: -6t + 6t = 0 6t + 12tx + -24x = 48 + 0 6t + 12tx + -24x = 48 Add '24x' to each side of the equation. 6t + 12tx + -24x + 24x = 48 + 24x Combine like terms: -24x + 24x = 0 6t + 12tx + 0 = 48 + 24x 6t + 12tx = 48 + 24x Reorder the terms: -48 + 6t + 12tx + -24x = 48 + 24x + -48 + -24x Reorder the terms: -48 + 6t + 12tx + -24x = 48 + -48 + 24x + -24x Combine like terms: 48 + -48 = 0 -48 + 6t + 12tx + -24x = 0 + 24x + -24x -48 + 6t + 12tx + -24x = 24x + -24x Combine like terms: 24x + -24x = 0 -48 + 6t + 12tx + -24x = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-8 + t + 2tx + -4x) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-8 + t + 2tx + -4x)' equal to zero and attempt to solve: Simplifying -8 + t + 2tx + -4x = 0 Solving -8 + t + 2tx + -4x = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + t + 2tx + 8 + -4x = 0 + 8 Reorder the terms: -8 + 8 + t + 2tx + -4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + t + 2tx + -4x = 0 + 8 t + 2tx + -4x = 0 + 8 Combine like terms: 0 + 8 = 8 t + 2tx + -4x = 8 Add '4x' to each side of the equation. t + 2tx + -4x + 4x = 8 + 4x Combine like terms: -4x + 4x = 0 t + 2tx + 0 = 8 + 4x t + 2tx = 8 + 4x 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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