7(t+4)-3(1+t)=-19

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Solution for 7(t+4)-3(1+t)=-19 equation: 


Simplifying
7(t + 4) + -3(1 + t) = -19

Reorder the terms:
7(4 + t) + -3(1 + t) = -19
(4 * 7 + t * 7) + -3(1 + t) = -19
(28 + 7t) + -3(1 + t) = -19
28 + 7t + (1 * -3 + t * -3) = -19
28 + 7t + (-3 + -3t) = -19

Reorder the terms:
28 + -3 + 7t + -3t = -19

Combine like terms: 28 + -3 = 25
25 + 7t + -3t = -19

Combine like terms: 7t + -3t = 4t
25 + 4t = -19

Solving
25 + 4t = -19

Solving for variable 't'.

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

Add '-25' to each side of the equation.
25 + -25 + 4t = -19 + -25

Combine like terms: 25 + -25 = 0
0 + 4t = -19 + -25
4t = -19 + -25

Combine like terms: -19 + -25 = -44
4t = -44

Divide each side by '4'.
t = -11

Simplifying
t = -11

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