4-t=3(t-1)-6

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Solution for 4-t=3(t-1)-6 equation:


Simplifying
4 + -1t = 3(t + -1) + -6

Reorder the terms:
4 + -1t = 3(-1 + t) + -6
4 + -1t = (-1 * 3 + t * 3) + -6
4 + -1t = (-3 + 3t) + -6

Reorder the terms:
4 + -1t = -3 + -6 + 3t

Combine like terms: -3 + -6 = -9
4 + -1t = -9 + 3t

Solving
4 + -1t = -9 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
4 + -1t + -3t = -9 + 3t + -3t

Combine like terms: -1t + -3t = -4t
4 + -4t = -9 + 3t + -3t

Combine like terms: 3t + -3t = 0
4 + -4t = -9 + 0
4 + -4t = -9

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

Combine like terms: 4 + -4 = 0
0 + -4t = -9 + -4
-4t = -9 + -4

Combine like terms: -9 + -4 = -13
-4t = -13

Divide each side by '-4'.
t = 3.25

Simplifying
t = 3.25

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