.35t+.65(100-t)=.79(100)

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Solution for .35t+.65(100-t)=.79(100) equation:


Simplifying
0.35t + 0.65(100 + -1t) = 0.79(100)
0.35t + (100 * 0.65 + -1t * 0.65) = 0.79(100)
0.35t + (65 + -0.65t) = 0.79(100)

Reorder the terms:
65 + 0.35t + -0.65t = 0.79(100)

Combine like terms: 0.35t + -0.65t = -0.3t
65 + -0.3t = 0.79(100)

Multiply 0.79 * 100
65 + -0.3t = 79

Solving
65 + -0.3t = 79

Solving for variable 't'.

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

Add '-65' to each side of the equation.
65 + -65 + -0.3t = 79 + -65

Combine like terms: 65 + -65 = 0
0 + -0.3t = 79 + -65
-0.3t = 79 + -65

Combine like terms: 79 + -65 = 14
-0.3t = 14

Divide each side by '-0.3'.
t = -46.66666667

Simplifying
t = -46.66666667

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