-7(4t+14)=-20-15t

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Solution for -7(4t+14)=-20-15t equation:


Simplifying
-7(4t + 14) = -20 + -15t

Reorder the terms:
-7(14 + 4t) = -20 + -15t
(14 * -7 + 4t * -7) = -20 + -15t
(-98 + -28t) = -20 + -15t

Solving
-98 + -28t = -20 + -15t

Solving for variable 't'.

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

Add '15t' to each side of the equation.
-98 + -28t + 15t = -20 + -15t + 15t

Combine like terms: -28t + 15t = -13t
-98 + -13t = -20 + -15t + 15t

Combine like terms: -15t + 15t = 0
-98 + -13t = -20 + 0
-98 + -13t = -20

Add '98' to each side of the equation.
-98 + 98 + -13t = -20 + 98

Combine like terms: -98 + 98 = 0
0 + -13t = -20 + 98
-13t = -20 + 98

Combine like terms: -20 + 98 = 78
-13t = 78

Divide each side by '-13'.
t = -6

Simplifying
t = -6

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