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Simplifying -2x(t + -4) = 10 + -2t Reorder the terms: -2x(-4 + t) = 10 + -2t (-4 * -2x + t * -2x) = 10 + -2t Reorder the terms: (-2tx + 8x) = 10 + -2t (-2tx + 8x) = 10 + -2t Solving -2tx + 8x = 10 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -2tx + 2t + 8x = 10 + -2t + 2t Reorder the terms: 2t + -2tx + 8x = 10 + -2t + 2t Combine like terms: -2t + 2t = 0 2t + -2tx + 8x = 10 + 0 2t + -2tx + 8x = 10 Add '-8x' to each side of the equation. 2t + -2tx + 8x + -8x = 10 + -8x Combine like terms: 8x + -8x = 0 2t + -2tx + 0 = 10 + -8x 2t + -2tx = 10 + -8x Reorder the terms: -10 + 2t + -2tx + 8x = 10 + -8x + -10 + 8x Reorder the terms: -10 + 2t + -2tx + 8x = 10 + -10 + -8x + 8x Combine like terms: 10 + -10 = 0 -10 + 2t + -2tx + 8x = 0 + -8x + 8x -10 + 2t + -2tx + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 2t + -2tx + 8x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + t + -1tx + 4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + t + -1tx + 4x)' equal to zero and attempt to solve: Simplifying -5 + t + -1tx + 4x = 0 Solving -5 + t + -1tx + 4x = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + t + -1tx + 5 + 4x = 0 + 5 Reorder the terms: -5 + 5 + t + -1tx + 4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + t + -1tx + 4x = 0 + 5 t + -1tx + 4x = 0 + 5 Combine like terms: 0 + 5 = 5 t + -1tx + 4x = 5 Add '-4x' to each side of the equation. t + -1tx + 4x + -4x = 5 + -4x Combine like terms: 4x + -4x = 0 t + -1tx + 0 = 5 + -4x t + -1tx = 5 + -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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