3+4(t+2)=2+3(t+4)

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


Simplifying
3 + 4(t + 2) = 2 + 3(t + 4)

Reorder the terms:
3 + 4(2 + t) = 2 + 3(t + 4)
3 + (2 * 4 + t * 4) = 2 + 3(t + 4)
3 + (8 + 4t) = 2 + 3(t + 4)

Combine like terms: 3 + 8 = 11
11 + 4t = 2 + 3(t + 4)

Reorder the terms:
11 + 4t = 2 + 3(4 + t)
11 + 4t = 2 + (4 * 3 + t * 3)
11 + 4t = 2 + (12 + 3t)

Combine like terms: 2 + 12 = 14
11 + 4t = 14 + 3t

Solving
11 + 4t = 14 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
11 + 4t + -3t = 14 + 3t + -3t

Combine like terms: 4t + -3t = 1t
11 + 1t = 14 + 3t + -3t

Combine like terms: 3t + -3t = 0
11 + 1t = 14 + 0
11 + 1t = 14

Add '-11' to each side of the equation.
11 + -11 + 1t = 14 + -11

Combine like terms: 11 + -11 = 0
0 + 1t = 14 + -11
1t = 14 + -11

Combine like terms: 14 + -11 = 3
1t = 3

Divide each side by '1'.
t = 3

Simplifying
t = 3

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