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Simplifying 6(t + -3) = 2x(9 + -2t) Reorder the terms: 6(-3 + t) = 2x(9 + -2t) (-3 * 6 + t * 6) = 2x(9 + -2t) (-18 + 6t) = 2x(9 + -2t) -18 + 6t = (9 * 2x + -2t * 2x) Reorder the terms: -18 + 6t = (-4tx + 18x) -18 + 6t = (-4tx + 18x) Solving -18 + 6t = -4tx + 18x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4tx' to each side of the equation. -18 + 6t + 4tx = -4tx + 4tx + 18x Combine like terms: -4tx + 4tx = 0 -18 + 6t + 4tx = 0 + 18x -18 + 6t + 4tx = 18x Add '18' to each side of the equation. -18 + 6t + 18 + 4tx = 18 + 18x Reorder the terms: -18 + 18 + 6t + 4tx = 18 + 18x Combine like terms: -18 + 18 = 0 0 + 6t + 4tx = 18 + 18x 6t + 4tx = 18 + 18x Reorder the terms: -18 + 6t + 4tx + -18x = 18 + 18x + -18 + -18x Reorder the terms: -18 + 6t + 4tx + -18x = 18 + -18 + 18x + -18x Combine like terms: 18 + -18 = 0 -18 + 6t + 4tx + -18x = 0 + 18x + -18x -18 + 6t + 4tx + -18x = 18x + -18x Combine like terms: 18x + -18x = 0 -18 + 6t + 4tx + -18x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 3t + 2tx + -9x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + 3t + 2tx + -9x)' equal to zero and attempt to solve: Simplifying -9 + 3t + 2tx + -9x = 0 Solving -9 + 3t + 2tx + -9x = 0 Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 3t + 2tx + 9 + -9x = 0 + 9 Reorder the terms: -9 + 9 + 3t + 2tx + -9x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 3t + 2tx + -9x = 0 + 9 3t + 2tx + -9x = 0 + 9 Combine like terms: 0 + 9 = 9 3t + 2tx + -9x = 9 Add '9x' to each side of the equation. 3t + 2tx + -9x + 9x = 9 + 9x Combine like terms: -9x + 9x = 0 3t + 2tx + 0 = 9 + 9x 3t + 2tx = 9 + 9x 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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