4[t+5]-3=6t-13

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Solution for 4[t+5]-3=6t-13 equation: 


Simplifying
4[t + 5] + -3 = 6t + -13

Reorder the terms:
4[5 + t] + -3 = 6t + -13
[5 * 4 + t * 4] + -3 = 6t + -13
[20 + 4t] + -3 = 6t + -13

Reorder the terms:
20 + -3 + 4t = 6t + -13

Combine like terms: 20 + -3 = 17
17 + 4t = 6t + -13

Reorder the terms:
17 + 4t = -13 + 6t

Solving
17 + 4t = -13 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
17 + 4t + -6t = -13 + 6t + -6t

Combine like terms: 4t + -6t = -2t
17 + -2t = -13 + 6t + -6t

Combine like terms: 6t + -6t = 0
17 + -2t = -13 + 0
17 + -2t = -13

Add '-17' to each side of the equation.
17 + -17 + -2t = -13 + -17

Combine like terms: 17 + -17 = 0
0 + -2t = -13 + -17
-2t = -13 + -17

Combine like terms: -13 + -17 = -30
-2t = -30

Divide each side by '-2'.
t = 15

Simplifying
t = 15

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