4(t+4)=1(t-2)

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Solution for 4(t+4)=1(t-2) equation: 


Simplifying
4(t + 4) = 1(t + -2)

Reorder the terms:
4(4 + t) = 1(t + -2)
(4 * 4 + t * 4) = 1(t + -2)
(16 + 4t) = 1(t + -2)

Reorder the terms:
16 + 4t = 1(-2 + t)
16 + 4t = (-2 * 1 + t * 1)
16 + 4t = (-2 + 1t)

Solving
16 + 4t = -2 + 1t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
16 + 4t + -1t = -2 + 1t + -1t

Combine like terms: 4t + -1t = 3t
16 + 3t = -2 + 1t + -1t

Combine like terms: 1t + -1t = 0
16 + 3t = -2 + 0
16 + 3t = -2

Add '-16' to each side of the equation.
16 + -16 + 3t = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 3t = -2 + -16
3t = -2 + -16

Combine like terms: -2 + -16 = -18
3t = -18

Divide each side by '3'.
t = -6

Simplifying
t = -6

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