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

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


Simplifying
-7(3 + t) = 4(2t + 6)
(3 * -7 + t * -7) = 4(2t + 6)
(-21 + -7t) = 4(2t + 6)

Reorder the terms:
-21 + -7t = 4(6 + 2t)
-21 + -7t = (6 * 4 + 2t * 4)
-21 + -7t = (24 + 8t)

Solving
-21 + -7t = 24 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
-21 + -7t + -8t = 24 + 8t + -8t

Combine like terms: -7t + -8t = -15t
-21 + -15t = 24 + 8t + -8t

Combine like terms: 8t + -8t = 0
-21 + -15t = 24 + 0
-21 + -15t = 24

Add '21' to each side of the equation.
-21 + 21 + -15t = 24 + 21

Combine like terms: -21 + 21 = 0
0 + -15t = 24 + 21
-15t = 24 + 21

Combine like terms: 24 + 21 = 45
-15t = 45

Divide each side by '-15'.
t = -3

Simplifying
t = -3

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