4(t-1)+5(t+4)=3t+46

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Solution for 4(t-1)+5(t+4)=3t+46 equation: 


Simplifying
4(t + -1) + 5(t + 4) = 3t + 46

Reorder the terms:
4(-1 + t) + 5(t + 4) = 3t + 46
(-1 * 4 + t * 4) + 5(t + 4) = 3t + 46
(-4 + 4t) + 5(t + 4) = 3t + 46

Reorder the terms:
-4 + 4t + 5(4 + t) = 3t + 46
-4 + 4t + (4 * 5 + t * 5) = 3t + 46
-4 + 4t + (20 + 5t) = 3t + 46

Reorder the terms:
-4 + 20 + 4t + 5t = 3t + 46

Combine like terms: -4 + 20 = 16
16 + 4t + 5t = 3t + 46

Combine like terms: 4t + 5t = 9t
16 + 9t = 3t + 46

Reorder the terms:
16 + 9t = 46 + 3t

Solving
16 + 9t = 46 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
16 + 9t + -3t = 46 + 3t + -3t

Combine like terms: 9t + -3t = 6t
16 + 6t = 46 + 3t + -3t

Combine like terms: 3t + -3t = 0
16 + 6t = 46 + 0
16 + 6t = 46

Add '-16' to each side of the equation.
16 + -16 + 6t = 46 + -16

Combine like terms: 16 + -16 = 0
0 + 6t = 46 + -16
6t = 46 + -16

Combine like terms: 46 + -16 = 30
6t = 30

Divide each side by '6'.
t = 5

Simplifying
t = 5

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