7(t-3)+4=33+3(t-2)

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Solution for 7(t-3)+4=33+3(t-2) equation:


Simplifying
7(t + -3) + 4 = 33 + 3(t + -2)

Reorder the terms:
7(-3 + t) + 4 = 33 + 3(t + -2)
(-3 * 7 + t * 7) + 4 = 33 + 3(t + -2)
(-21 + 7t) + 4 = 33 + 3(t + -2)

Reorder the terms:
-21 + 4 + 7t = 33 + 3(t + -2)

Combine like terms: -21 + 4 = -17
-17 + 7t = 33 + 3(t + -2)

Reorder the terms:
-17 + 7t = 33 + 3(-2 + t)
-17 + 7t = 33 + (-2 * 3 + t * 3)
-17 + 7t = 33 + (-6 + 3t)

Combine like terms: 33 + -6 = 27
-17 + 7t = 27 + 3t

Solving
-17 + 7t = 27 + 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.
-17 + 7t + -3t = 27 + 3t + -3t

Combine like terms: 7t + -3t = 4t
-17 + 4t = 27 + 3t + -3t

Combine like terms: 3t + -3t = 0
-17 + 4t = 27 + 0
-17 + 4t = 27

Add '17' to each side of the equation.
-17 + 17 + 4t = 27 + 17

Combine like terms: -17 + 17 = 0
0 + 4t = 27 + 17
4t = 27 + 17

Combine like terms: 27 + 17 = 44
4t = 44

Divide each side by '4'.
t = 11

Simplifying
t = 11

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