8t+14=2s(4t+7)

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Solution for 8t+14=2s(4t+7) equation:


Simplifying
8t + 14 = 2s(4t + 7)

Reorder the terms:
14 + 8t = 2s(4t + 7)

Reorder the terms:
14 + 8t = 2s(7 + 4t)
14 + 8t = (7 * 2s + 4t * 2s)
14 + 8t = (14s + 8st)

Solving
14 + 8t = 14s + 8st

Solving for variable 't'.

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

Add '-8st' to each side of the equation.
14 + -8st + 8t = 14s + 8st + -8st

Combine like terms: 8st + -8st = 0
14 + -8st + 8t = 14s + 0
14 + -8st + 8t = 14s

Add '-14' to each side of the equation.
14 + -8st + -14 + 8t = -14 + 14s

Reorder the terms:
14 + -14 + -8st + 8t = -14 + 14s

Combine like terms: 14 + -14 = 0
0 + -8st + 8t = -14 + 14s
-8st + 8t = -14 + 14s

Reorder the terms:
14 + -14s + -8st + 8t = -14 + 14s + 14 + -14s

Reorder the terms:
14 + -14s + -8st + 8t = -14 + 14 + 14s + -14s

Combine like terms: -14 + 14 = 0
14 + -14s + -8st + 8t = 0 + 14s + -14s
14 + -14s + -8st + 8t = 14s + -14s

Combine like terms: 14s + -14s = 0
14 + -14s + -8st + 8t = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + -7s + -4st + 4t) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(7 + -7s + -4st + 4t)' equal to zero and attempt to solve: Simplifying 7 + -7s + -4st + 4t = 0 Solving 7 + -7s + -4st + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7s + -4st + -7 + 4t = 0 + -7 Reorder the terms: 7 + -7 + -7s + -4st + 4t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7s + -4st + 4t = 0 + -7 -7s + -4st + 4t = 0 + -7 Combine like terms: 0 + -7 = -7 -7s + -4st + 4t = -7 Add '7s' to each side of the equation. -7s + -4st + 7s + 4t = -7 + 7s Reorder the terms: -7s + 7s + -4st + 4t = -7 + 7s Combine like terms: -7s + 7s = 0 0 + -4st + 4t = -7 + 7s -4st + 4t = -7 + 7s 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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