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Simplifying 4(x + -4) + 8t = 6(2tx + 5) + -10 Reorder the terms: 4(-4 + x) + 8t = 6(2tx + 5) + -10 (-4 * 4 + x * 4) + 8t = 6(2tx + 5) + -10 (-16 + 4x) + 8t = 6(2tx + 5) + -10 Reorder the terms: -16 + 8t + 4x = 6(2tx + 5) + -10 Reorder the terms: -16 + 8t + 4x = 6(5 + 2tx) + -10 -16 + 8t + 4x = (5 * 6 + 2tx * 6) + -10 -16 + 8t + 4x = (30 + 12tx) + -10 Reorder the terms: -16 + 8t + 4x = 30 + -10 + 12tx Combine like terms: 30 + -10 = 20 -16 + 8t + 4x = 20 + 12tx Solving -16 + 8t + 4x = 20 + 12tx Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12tx' to each side of the equation. -16 + 8t + -12tx + 4x = 20 + 12tx + -12tx Combine like terms: 12tx + -12tx = 0 -16 + 8t + -12tx + 4x = 20 + 0 -16 + 8t + -12tx + 4x = 20 Add '16' to each side of the equation. -16 + 8t + -12tx + 16 + 4x = 20 + 16 Reorder the terms: -16 + 16 + 8t + -12tx + 4x = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 8t + -12tx + 4x = 20 + 16 8t + -12tx + 4x = 20 + 16 Combine like terms: 20 + 16 = 36 8t + -12tx + 4x = 36 Add '-4x' to each side of the equation. 8t + -12tx + 4x + -4x = 36 + -4x Combine like terms: 4x + -4x = 0 8t + -12tx + 0 = 36 + -4x 8t + -12tx = 36 + -4x Reorder the terms: -36 + 8t + -12tx + 4x = 36 + -4x + -36 + 4x Reorder the terms: -36 + 8t + -12tx + 4x = 36 + -36 + -4x + 4x Combine like terms: 36 + -36 = 0 -36 + 8t + -12tx + 4x = 0 + -4x + 4x -36 + 8t + -12tx + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -36 + 8t + -12tx + 4x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-9 + 2t + -3tx + x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-9 + 2t + -3tx + x)' equal to zero and attempt to solve: Simplifying -9 + 2t + -3tx + x = 0 Solving -9 + 2t + -3tx + x = 0 Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 2t + -3tx + 9 + x = 0 + 9 Reorder the terms: -9 + 9 + 2t + -3tx + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2t + -3tx + x = 0 + 9 2t + -3tx + x = 0 + 9 Combine like terms: 0 + 9 = 9 2t + -3tx + x = 9 Add '-1x' to each side of the equation. 2t + -3tx + x + -1x = 9 + -1x Combine like terms: x + -1x = 0 2t + -3tx + 0 = 9 + -1x 2t + -3tx = 9 + -1x 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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