4(t-1)+5(t+1)=7

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Solution for 4(t-1)+5(t+1)=7 equation: 


Simplifying
4(t + -1) + 5(t + 1) = 7

Reorder the terms:
4(-1 + t) + 5(t + 1) = 7
(-1 * 4 + t * 4) + 5(t + 1) = 7
(-4 + 4t) + 5(t + 1) = 7

Reorder the terms:
-4 + 4t + 5(1 + t) = 7
-4 + 4t + (1 * 5 + t * 5) = 7
-4 + 4t + (5 + 5t) = 7

Reorder the terms:
-4 + 5 + 4t + 5t = 7

Combine like terms: -4 + 5 = 1
1 + 4t + 5t = 7

Combine like terms: 4t + 5t = 9t
1 + 9t = 7

Solving
1 + 9t = 7

Solving for variable 't'.

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

Add '-1' to each side of the equation.
1 + -1 + 9t = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 9t = 7 + -1
9t = 7 + -1

Combine like terms: 7 + -1 = 6
9t = 6

Divide each side by '9'.
t = 0.6666666667

Simplifying
t = 0.6666666667

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