4(t-5)-9=2(3t+1)+5

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Solution for 4(t-5)-9=2(3t+1)+5 equation: 


Simplifying
4(t + -5) + -9 = 2(3t + 1) + 5

Reorder the terms:
4(-5 + t) + -9 = 2(3t + 1) + 5
(-5 * 4 + t * 4) + -9 = 2(3t + 1) + 5
(-20 + 4t) + -9 = 2(3t + 1) + 5

Reorder the terms:
-20 + -9 + 4t = 2(3t + 1) + 5

Combine like terms: -20 + -9 = -29
-29 + 4t = 2(3t + 1) + 5

Reorder the terms:
-29 + 4t = 2(1 + 3t) + 5
-29 + 4t = (1 * 2 + 3t * 2) + 5
-29 + 4t = (2 + 6t) + 5

Reorder the terms:
-29 + 4t = 2 + 5 + 6t

Combine like terms: 2 + 5 = 7
-29 + 4t = 7 + 6t

Solving
-29 + 4t = 7 + 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.
-29 + 4t + -6t = 7 + 6t + -6t

Combine like terms: 4t + -6t = -2t
-29 + -2t = 7 + 6t + -6t

Combine like terms: 6t + -6t = 0
-29 + -2t = 7 + 0
-29 + -2t = 7

Add '29' to each side of the equation.
-29 + 29 + -2t = 7 + 29

Combine like terms: -29 + 29 = 0
0 + -2t = 7 + 29
-2t = 7 + 29

Combine like terms: 7 + 29 = 36
-2t = 36

Divide each side by '-2'.
t = -18

Simplifying
t = -18

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