4t+7=3-2rt

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Solution for 4t+7=3-2rt equation:


Simplifying
4t + 7 = 3 + -2rt

Reorder the terms:
7 + 4t = 3 + -2rt

Solving
7 + 4t = 3 + -2rt

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '2rt' to each side of the equation.
7 + 2rt + 4t = 3 + -2rt + 2rt

Combine like terms: -2rt + 2rt = 0
7 + 2rt + 4t = 3 + 0
7 + 2rt + 4t = 3

Add '-7' to each side of the equation.
7 + 2rt + -7 + 4t = 3 + -7

Reorder the terms:
7 + -7 + 2rt + 4t = 3 + -7

Combine like terms: 7 + -7 = 0
0 + 2rt + 4t = 3 + -7
2rt + 4t = 3 + -7

Combine like terms: 3 + -7 = -4
2rt + 4t = -4

Reorder the terms:
4 + 2rt + 4t = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 2rt + 4t = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + rt + 2t) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + rt + 2t)' equal to zero and attempt to solve: Simplifying 2 + rt + 2t = 0 Solving 2 + rt + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + rt + -2 + 2t = 0 + -2 Reorder the terms: 2 + -2 + rt + 2t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + rt + 2t = 0 + -2 rt + 2t = 0 + -2 Combine like terms: 0 + -2 = -2 rt + 2t = -2 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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