5+4(t+2)=2(t+7)+1

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Solution for 5+4(t+2)=2(t+7)+1 equation:


Simplifying
5 + 4(t + 2) = 2(t + 7) + 1

Reorder the terms:
5 + 4(2 + t) = 2(t + 7) + 1
5 + (2 * 4 + t * 4) = 2(t + 7) + 1
5 + (8 + 4t) = 2(t + 7) + 1

Combine like terms: 5 + 8 = 13
13 + 4t = 2(t + 7) + 1

Reorder the terms:
13 + 4t = 2(7 + t) + 1
13 + 4t = (7 * 2 + t * 2) + 1
13 + 4t = (14 + 2t) + 1

Reorder the terms:
13 + 4t = 14 + 1 + 2t

Combine like terms: 14 + 1 = 15
13 + 4t = 15 + 2t

Solving
13 + 4t = 15 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
13 + 4t + -2t = 15 + 2t + -2t

Combine like terms: 4t + -2t = 2t
13 + 2t = 15 + 2t + -2t

Combine like terms: 2t + -2t = 0
13 + 2t = 15 + 0
13 + 2t = 15

Add '-13' to each side of the equation.
13 + -13 + 2t = 15 + -13

Combine like terms: 13 + -13 = 0
0 + 2t = 15 + -13
2t = 15 + -13

Combine like terms: 15 + -13 = 2
2t = 2

Divide each side by '2'.
t = 1

Simplifying
t = 1

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