2-.6(t-10)=.9(9t-10)

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Solution for 2-.6(t-10)=.9(9t-10) equation:


Simplifying
2 + -0.6(t + -10) = 0.9(9t + -10)

Reorder the terms:
2 + -0.6(-10 + t) = 0.9(9t + -10)
2 + (-10 * -0.6 + t * -0.6) = 0.9(9t + -10)
2 + (6 + -0.6t) = 0.9(9t + -10)

Combine like terms: 2 + 6 = 8
8 + -0.6t = 0.9(9t + -10)

Reorder the terms:
8 + -0.6t = 0.9(-10 + 9t)
8 + -0.6t = (-10 * 0.9 + 9t * 0.9)
8 + -0.6t = (-9 + 8.1t)

Solving
8 + -0.6t = -9 + 8.1t

Solving for variable 't'.

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

Add '-8.1t' to each side of the equation.
8 + -0.6t + -8.1t = -9 + 8.1t + -8.1t

Combine like terms: -0.6t + -8.1t = -8.7t
8 + -8.7t = -9 + 8.1t + -8.1t

Combine like terms: 8.1t + -8.1t = 0.0
8 + -8.7t = -9 + 0.0
8 + -8.7t = -9

Add '-8' to each side of the equation.
8 + -8 + -8.7t = -9 + -8

Combine like terms: 8 + -8 = 0
0 + -8.7t = -9 + -8
-8.7t = -9 + -8

Combine like terms: -9 + -8 = -17
-8.7t = -17

Divide each side by '-8.7'.
t = 1.954022989

Simplifying
t = 1.954022989

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