6(t+3)+2(t-4)=26

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Solution for 6(t+3)+2(t-4)=26 equation: 


Simplifying
6(t + 3) + 2(t + -4) = 26

Reorder the terms:
6(3 + t) + 2(t + -4) = 26
(3 * 6 + t * 6) + 2(t + -4) = 26
(18 + 6t) + 2(t + -4) = 26

Reorder the terms:
18 + 6t + 2(-4 + t) = 26
18 + 6t + (-4 * 2 + t * 2) = 26
18 + 6t + (-8 + 2t) = 26

Reorder the terms:
18 + -8 + 6t + 2t = 26

Combine like terms: 18 + -8 = 10
10 + 6t + 2t = 26

Combine like terms: 6t + 2t = 8t
10 + 8t = 26

Solving
10 + 8t = 26

Solving for variable 't'.

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

Add '-10' to each side of the equation.
10 + -10 + 8t = 26 + -10

Combine like terms: 10 + -10 = 0
0 + 8t = 26 + -10
8t = 26 + -10

Combine like terms: 26 + -10 = 16
8t = 16

Divide each side by '8'.
t = 2

Simplifying
t = 2

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