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Simplifying 6(t + -3) = 2(9 + -2ft) Reorder the terms: 6(-3 + t) = 2(9 + -2ft) (-3 * 6 + t * 6) = 2(9 + -2ft) (-18 + 6t) = 2(9 + -2ft) -18 + 6t = (9 * 2 + -2ft * 2) -18 + 6t = (18 + -4ft) Solving -18 + 6t = 18 + -4ft Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4ft' to each side of the equation. -18 + 4ft + 6t = 18 + -4ft + 4ft Combine like terms: -4ft + 4ft = 0 -18 + 4ft + 6t = 18 + 0 -18 + 4ft + 6t = 18 Add '18' to each side of the equation. -18 + 4ft + 18 + 6t = 18 + 18 Reorder the terms: -18 + 18 + 4ft + 6t = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 4ft + 6t = 18 + 18 4ft + 6t = 18 + 18 Combine like terms: 18 + 18 = 36 4ft + 6t = 36 Reorder the terms: -36 + 4ft + 6t = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 4ft + 6t = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + 2ft + 3t) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-18 + 2ft + 3t)' equal to zero and attempt to solve: Simplifying -18 + 2ft + 3t = 0 Solving -18 + 2ft + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 2ft + 18 + 3t = 0 + 18 Reorder the terms: -18 + 18 + 2ft + 3t = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 2ft + 3t = 0 + 18 2ft + 3t = 0 + 18 Combine like terms: 0 + 18 = 18 2ft + 3t = 18 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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