t+65=5(t-15)

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Solution for t+65=5(t-15) equation:


Simplifying
t + 65 = 5(t + -15)

Reorder the terms:
65 + t = 5(t + -15)

Reorder the terms:
65 + t = 5(-15 + t)
65 + t = (-15 * 5 + t * 5)
65 + t = (-75 + 5t)

Solving
65 + t = -75 + 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.
65 + t + -5t = -75 + 5t + -5t

Combine like terms: t + -5t = -4t
65 + -4t = -75 + 5t + -5t

Combine like terms: 5t + -5t = 0
65 + -4t = -75 + 0
65 + -4t = -75

Add '-65' to each side of the equation.
65 + -65 + -4t = -75 + -65

Combine like terms: 65 + -65 = 0
0 + -4t = -75 + -65
-4t = -75 + -65

Combine like terms: -75 + -65 = -140
-4t = -140

Divide each side by '-4'.
t = 35

Simplifying
t = 35

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