-7(t-3)-(t+2)=4

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Solution for -7(t-3)-(t+2)=4 equation: 


Simplifying
-7(t + -3) + -1(t + 2) = 4

Reorder the terms:
-7(-3 + t) + -1(t + 2) = 4
(-3 * -7 + t * -7) + -1(t + 2) = 4
(21 + -7t) + -1(t + 2) = 4

Reorder the terms:
21 + -7t + -1(2 + t) = 4
21 + -7t + (2 * -1 + t * -1) = 4
21 + -7t + (-2 + -1t) = 4

Reorder the terms:
21 + -2 + -7t + -1t = 4

Combine like terms: 21 + -2 = 19
19 + -7t + -1t = 4

Combine like terms: -7t + -1t = -8t
19 + -8t = 4

Solving
19 + -8t = 4

Solving for variable 't'.

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

Add '-19' to each side of the equation.
19 + -19 + -8t = 4 + -19

Combine like terms: 19 + -19 = 0
0 + -8t = 4 + -19
-8t = 4 + -19

Combine like terms: 4 + -19 = -15
-8t = -15

Divide each side by '-8'.
t = 1.875

Simplifying
t = 1.875

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