3+7(5+t)=2-6(4-t)

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Solution for 3+7(5+t)=2-6(4-t) equation:


Simplifying
3 + 7(5 + t) = 2 + -6(4 + -1t)
3 + (5 * 7 + t * 7) = 2 + -6(4 + -1t)
3 + (35 + 7t) = 2 + -6(4 + -1t)

Combine like terms: 3 + 35 = 38
38 + 7t = 2 + -6(4 + -1t)
38 + 7t = 2 + (4 * -6 + -1t * -6)
38 + 7t = 2 + (-24 + 6t)

Combine like terms: 2 + -24 = -22
38 + 7t = -22 + 6t

Solving
38 + 7t = -22 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
38 + 7t + -6t = -22 + 6t + -6t

Combine like terms: 7t + -6t = 1t
38 + 1t = -22 + 6t + -6t

Combine like terms: 6t + -6t = 0
38 + 1t = -22 + 0
38 + 1t = -22

Add '-38' to each side of the equation.
38 + -38 + 1t = -22 + -38

Combine like terms: 38 + -38 = 0
0 + 1t = -22 + -38
1t = -22 + -38

Combine like terms: -22 + -38 = -60
1t = -60

Divide each side by '1'.
t = -60

Simplifying
t = -60

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