3+7(t-3)=4(t+3)+6

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Solution for 3+7(t-3)=4(t+3)+6 equation:


Simplifying
3 + 7(t + -3) = 4(t + 3) + 6

Reorder the terms:
3 + 7(-3 + t) = 4(t + 3) + 6
3 + (-3 * 7 + t * 7) = 4(t + 3) + 6
3 + (-21 + 7t) = 4(t + 3) + 6

Combine like terms: 3 + -21 = -18
-18 + 7t = 4(t + 3) + 6

Reorder the terms:
-18 + 7t = 4(3 + t) + 6
-18 + 7t = (3 * 4 + t * 4) + 6
-18 + 7t = (12 + 4t) + 6

Reorder the terms:
-18 + 7t = 12 + 6 + 4t

Combine like terms: 12 + 6 = 18
-18 + 7t = 18 + 4t

Solving
-18 + 7t = 18 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
-18 + 7t + -4t = 18 + 4t + -4t

Combine like terms: 7t + -4t = 3t
-18 + 3t = 18 + 4t + -4t

Combine like terms: 4t + -4t = 0
-18 + 3t = 18 + 0
-18 + 3t = 18

Add '18' to each side of the equation.
-18 + 18 + 3t = 18 + 18

Combine like terms: -18 + 18 = 0
0 + 3t = 18 + 18
3t = 18 + 18

Combine like terms: 18 + 18 = 36
3t = 36

Divide each side by '3'.
t = 12

Simplifying
t = 12

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