166-5(3t-4)=8(-2+11)

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Solution for 166-5(3t-4)=8(-2+11) equation: 


Simplifying
166 + -5(3t + -4) = 8(-2 + 11)

Reorder the terms:
166 + -5(-4 + 3t) = 8(-2 + 11)
166 + (-4 * -5 + 3t * -5) = 8(-2 + 11)
166 + (20 + -15t) = 8(-2 + 11)

Combine like terms: 166 + 20 = 186
186 + -15t = 8(-2 + 11)

Combine like terms: -2 + 11 = 9
186 + -15t = 8(9)

Multiply 8 * 9
186 + -15t = 72

Solving
186 + -15t = 72

Solving for variable 't'.

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

Add '-186' to each side of the equation.
186 + -186 + -15t = 72 + -186

Combine like terms: 186 + -186 = 0
0 + -15t = 72 + -186
-15t = 72 + -186

Combine like terms: 72 + -186 = -114
-15t = -114

Divide each side by '-15'.
t = 7.6

Simplifying
t = 7.6

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