6(t-6)+8t=7(27+5)-10

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Solution for 6(t-6)+8t=7(27+5)-10 equation: 


Simplifying
6(t + -6) + 8t = 7(27 + 5) + -10

Reorder the terms:
6(-6 + t) + 8t = 7(27 + 5) + -10
(-6 * 6 + t * 6) + 8t = 7(27 + 5) + -10
(-36 + 6t) + 8t = 7(27 + 5) + -10

Combine like terms: 6t + 8t = 14t
-36 + 14t = 7(27 + 5) + -10

Combine like terms: 27 + 5 = 32
-36 + 14t = 7(32) + -10

Multiply 7 * 32
-36 + 14t = 224 + -10

Combine like terms: 224 + -10 = 214
-36 + 14t = 214

Solving
-36 + 14t = 214

Solving for variable 't'.

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

Add '36' to each side of the equation.
-36 + 36 + 14t = 214 + 36

Combine like terms: -36 + 36 = 0
0 + 14t = 214 + 36
14t = 214 + 36

Combine like terms: 214 + 36 = 250
14t = 250

Divide each side by '14'.
t = 17.85714286

Simplifying
t = 17.85714286

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