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

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Solution for 6(t-2)-(t+3)=7 equation: 


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

Reorder the terms:
6(-2 + t) + -1(t + 3) = 7
(-2 * 6 + t * 6) + -1(t + 3) = 7
(-12 + 6t) + -1(t + 3) = 7

Reorder the terms:
-12 + 6t + -1(3 + t) = 7
-12 + 6t + (3 * -1 + t * -1) = 7
-12 + 6t + (-3 + -1t) = 7

Reorder the terms:
-12 + -3 + 6t + -1t = 7

Combine like terms: -12 + -3 = -15
-15 + 6t + -1t = 7

Combine like terms: 6t + -1t = 5t
-15 + 5t = 7

Solving
-15 + 5t = 7

Solving for variable 't'.

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

Add '15' to each side of the equation.
-15 + 15 + 5t = 7 + 15

Combine like terms: -15 + 15 = 0
0 + 5t = 7 + 15
5t = 7 + 15

Combine like terms: 7 + 15 = 22
5t = 22

Divide each side by '5'.
t = 4.4

Simplifying
t = 4.4

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