3[4-3(6-t)]-7=4[3(4t-5)+10]-69

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Solution for 3[4-3(6-t)]-7=4[3(4t-5)+10]-69 equation: 


Simplifying
3[4 + -3(6 + -1t)] + -7 = 4[3(4t + -5) + 10] + -69
3[4 + (6 * -3 + -1t * -3)] + -7 = 4[3(4t + -5) + 10] + -69
3[4 + (-18 + 3t)] + -7 = 4[3(4t + -5) + 10] + -69

Combine like terms: 4 + -18 = -14
3[-14 + 3t] + -7 = 4[3(4t + -5) + 10] + -69
[-14 * 3 + 3t * 3] + -7 = 4[3(4t + -5) + 10] + -69
[-42 + 9t] + -7 = 4[3(4t + -5) + 10] + -69

Reorder the terms:
-42 + -7 + 9t = 4[3(4t + -5) + 10] + -69

Combine like terms: -42 + -7 = -49
-49 + 9t = 4[3(4t + -5) + 10] + -69

Reorder the terms:
-49 + 9t = 4[3(-5 + 4t) + 10] + -69
-49 + 9t = 4[(-5 * 3 + 4t * 3) + 10] + -69
-49 + 9t = 4[(-15 + 12t) + 10] + -69

Reorder the terms:
-49 + 9t = 4[-15 + 10 + 12t] + -69

Combine like terms: -15 + 10 = -5
-49 + 9t = 4[-5 + 12t] + -69
-49 + 9t = [-5 * 4 + 12t * 4] + -69
-49 + 9t = [-20 + 48t] + -69

Reorder the terms:
-49 + 9t = -20 + -69 + 48t

Combine like terms: -20 + -69 = -89
-49 + 9t = -89 + 48t

Solving
-49 + 9t = -89 + 48t

Solving for variable 't'.

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

Add '-48t' to each side of the equation.
-49 + 9t + -48t = -89 + 48t + -48t

Combine like terms: 9t + -48t = -39t
-49 + -39t = -89 + 48t + -48t

Combine like terms: 48t + -48t = 0
-49 + -39t = -89 + 0
-49 + -39t = -89

Add '49' to each side of the equation.
-49 + 49 + -39t = -89 + 49

Combine like terms: -49 + 49 = 0
0 + -39t = -89 + 49
-39t = -89 + 49

Combine like terms: -89 + 49 = -40
-39t = -40

Divide each side by '-39'.
t = 1.025641026

Simplifying
t = 1.025641026

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