-4(t-8)-(t+6)=7

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Solution for -4(t-8)-(t+6)=7 equation:


Simplifying
-4(t + -8) + -1(t + 6) = 7

Reorder the terms:
-4(-8 + t) + -1(t + 6) = 7
(-8 * -4 + t * -4) + -1(t + 6) = 7
(32 + -4t) + -1(t + 6) = 7

Reorder the terms:
32 + -4t + -1(6 + t) = 7
32 + -4t + (6 * -1 + t * -1) = 7
32 + -4t + (-6 + -1t) = 7

Reorder the terms:
32 + -6 + -4t + -1t = 7

Combine like terms: 32 + -6 = 26
26 + -4t + -1t = 7

Combine like terms: -4t + -1t = -5t
26 + -5t = 7

Solving
26 + -5t = 7

Solving for variable 't'.

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

Add '-26' to each side of the equation.
26 + -26 + -5t = 7 + -26

Combine like terms: 26 + -26 = 0
0 + -5t = 7 + -26
-5t = 7 + -26

Combine like terms: 7 + -26 = -19
-5t = -19

Divide each side by '-5'.
t = 3.8

Simplifying
t = 3.8

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