9(t+3)-4(t-2)=6

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Solution for 9(t+3)-4(t-2)=6 equation:


Simplifying
9(t + 3) + -4(t + -2) = 6

Reorder the terms:
9(3 + t) + -4(t + -2) = 6
(3 * 9 + t * 9) + -4(t + -2) = 6
(27 + 9t) + -4(t + -2) = 6

Reorder the terms:
27 + 9t + -4(-2 + t) = 6
27 + 9t + (-2 * -4 + t * -4) = 6
27 + 9t + (8 + -4t) = 6

Reorder the terms:
27 + 8 + 9t + -4t = 6

Combine like terms: 27 + 8 = 35
35 + 9t + -4t = 6

Combine like terms: 9t + -4t = 5t
35 + 5t = 6

Solving
35 + 5t = 6

Solving for variable 't'.

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

Add '-35' to each side of the equation.
35 + -35 + 5t = 6 + -35

Combine like terms: 35 + -35 = 0
0 + 5t = 6 + -35
5t = 6 + -35

Combine like terms: 6 + -35 = -29
5t = -29

Divide each side by '5'.
t = -5.8

Simplifying
t = -5.8

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