3t-7=4(t+4)

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Solution for 3t-7=4(t+4) equation:


Simplifying
3t + -7 = 4(t + 4)

Reorder the terms:
-7 + 3t = 4(t + 4)

Reorder the terms:
-7 + 3t = 4(4 + t)
-7 + 3t = (4 * 4 + t * 4)
-7 + 3t = (16 + 4t)

Solving
-7 + 3t = 16 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
-7 + 3t + -4t = 16 + 4t + -4t

Combine like terms: 3t + -4t = -1t
-7 + -1t = 16 + 4t + -4t

Combine like terms: 4t + -4t = 0
-7 + -1t = 16 + 0
-7 + -1t = 16

Add '7' to each side of the equation.
-7 + 7 + -1t = 16 + 7

Combine like terms: -7 + 7 = 0
0 + -1t = 16 + 7
-1t = 16 + 7

Combine like terms: 16 + 7 = 23
-1t = 23

Divide each side by '-1'.
t = -23

Simplifying
t = -23

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