7(t-1)=9(t-4)

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Solution for 7(t-1)=9(t-4) equation:


Simplifying
7(t + -1) = 9(t + -4)

Reorder the terms:
7(-1 + t) = 9(t + -4)
(-1 * 7 + t * 7) = 9(t + -4)
(-7 + 7t) = 9(t + -4)

Reorder the terms:
-7 + 7t = 9(-4 + t)
-7 + 7t = (-4 * 9 + t * 9)
-7 + 7t = (-36 + 9t)

Solving
-7 + 7t = -36 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
-7 + 7t + -9t = -36 + 9t + -9t

Combine like terms: 7t + -9t = -2t
-7 + -2t = -36 + 9t + -9t

Combine like terms: 9t + -9t = 0
-7 + -2t = -36 + 0
-7 + -2t = -36

Add '7' to each side of the equation.
-7 + 7 + -2t = -36 + 7

Combine like terms: -7 + 7 = 0
0 + -2t = -36 + 7
-2t = -36 + 7

Combine like terms: -36 + 7 = -29
-2t = -29

Divide each side by '-2'.
t = 14.5

Simplifying
t = 14.5

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