4(t+5)-3(t+3)=14

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Solution for 4(t+5)-3(t+3)=14 equation: 


Simplifying
4(t + 5) + -3(t + 3) = 14

Reorder the terms:
4(5 + t) + -3(t + 3) = 14
(5 * 4 + t * 4) + -3(t + 3) = 14
(20 + 4t) + -3(t + 3) = 14

Reorder the terms:
20 + 4t + -3(3 + t) = 14
20 + 4t + (3 * -3 + t * -3) = 14
20 + 4t + (-9 + -3t) = 14

Reorder the terms:
20 + -9 + 4t + -3t = 14

Combine like terms: 20 + -9 = 11
11 + 4t + -3t = 14

Combine like terms: 4t + -3t = 1t
11 + 1t = 14

Solving
11 + 1t = 14

Solving for variable 't'.

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

Add '-11' to each side of the equation.
11 + -11 + 1t = 14 + -11

Combine like terms: 11 + -11 = 0
0 + 1t = 14 + -11
1t = 14 + -11

Combine like terms: 14 + -11 = 3
1t = 3

Divide each side by '1'.
t = 3

Simplifying
t = 3

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