2(7t-8)+3(2t-7)=93

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Solution for 2(7t-8)+3(2t-7)=93 equation:


Simplifying
2(7t + -8) + 3(2t + -7) = 93

Reorder the terms:
2(-8 + 7t) + 3(2t + -7) = 93
(-8 * 2 + 7t * 2) + 3(2t + -7) = 93
(-16 + 14t) + 3(2t + -7) = 93

Reorder the terms:
-16 + 14t + 3(-7 + 2t) = 93
-16 + 14t + (-7 * 3 + 2t * 3) = 93
-16 + 14t + (-21 + 6t) = 93

Reorder the terms:
-16 + -21 + 14t + 6t = 93

Combine like terms: -16 + -21 = -37
-37 + 14t + 6t = 93

Combine like terms: 14t + 6t = 20t
-37 + 20t = 93

Solving
-37 + 20t = 93

Solving for variable 't'.

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

Add '37' to each side of the equation.
-37 + 37 + 20t = 93 + 37

Combine like terms: -37 + 37 = 0
0 + 20t = 93 + 37
20t = 93 + 37

Combine like terms: 93 + 37 = 130
20t = 130

Divide each side by '20'.
t = 6.5

Simplifying
t = 6.5

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