-8(t-4)-(t+3)=7

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Solution for -8(t-4)-(t+3)=7 equation: 


Simplifying
-8(t + -4) + -1(t + 3) = 7

Reorder the terms:
-8(-4 + t) + -1(t + 3) = 7
(-4 * -8 + t * -8) + -1(t + 3) = 7
(32 + -8t) + -1(t + 3) = 7

Reorder the terms:
32 + -8t + -1(3 + t) = 7
32 + -8t + (3 * -1 + t * -1) = 7
32 + -8t + (-3 + -1t) = 7

Reorder the terms:
32 + -3 + -8t + -1t = 7

Combine like terms: 32 + -3 = 29
29 + -8t + -1t = 7

Combine like terms: -8t + -1t = -9t
29 + -9t = 7

Solving
29 + -9t = 7

Solving for variable 't'.

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

Add '-29' to each side of the equation.
29 + -29 + -9t = 7 + -29

Combine like terms: 29 + -29 = 0
0 + -9t = 7 + -29
-9t = 7 + -29

Combine like terms: 7 + -29 = -22
-9t = -22

Divide each side by '-9'.
t = 2.444444444

Simplifying
t = 2.444444444

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