4t+9=5(t-7)

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Solution for 4t+9=5(t-7) equation:


Simplifying
4t + 9 = 5(t + -7)

Reorder the terms:
9 + 4t = 5(t + -7)

Reorder the terms:
9 + 4t = 5(-7 + t)
9 + 4t = (-7 * 5 + t * 5)
9 + 4t = (-35 + 5t)

Solving
9 + 4t = -35 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
9 + 4t + -5t = -35 + 5t + -5t

Combine like terms: 4t + -5t = -1t
9 + -1t = -35 + 5t + -5t

Combine like terms: 5t + -5t = 0
9 + -1t = -35 + 0
9 + -1t = -35

Add '-9' to each side of the equation.
9 + -9 + -1t = -35 + -9

Combine like terms: 9 + -9 = 0
0 + -1t = -35 + -9
-1t = -35 + -9

Combine like terms: -35 + -9 = -44
-1t = -44

Divide each side by '-1'.
t = 44

Simplifying
t = 44

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