4(t+5)+6(2t-3)=12

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Solution for 4(t+5)+6(2t-3)=12 equation: 


Simplifying
4(t + 5) + 6(2t + -3) = 12

Reorder the terms:
4(5 + t) + 6(2t + -3) = 12
(5 * 4 + t * 4) + 6(2t + -3) = 12
(20 + 4t) + 6(2t + -3) = 12

Reorder the terms:
20 + 4t + 6(-3 + 2t) = 12
20 + 4t + (-3 * 6 + 2t * 6) = 12
20 + 4t + (-18 + 12t) = 12

Reorder the terms:
20 + -18 + 4t + 12t = 12

Combine like terms: 20 + -18 = 2
2 + 4t + 12t = 12

Combine like terms: 4t + 12t = 16t
2 + 16t = 12

Solving
2 + 16t = 12

Solving for variable 't'.

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

Add '-2' to each side of the equation.
2 + -2 + 16t = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 16t = 12 + -2
16t = 12 + -2

Combine like terms: 12 + -2 = 10
16t = 10

Divide each side by '16'.
t = 0.625

Simplifying
t = 0.625

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