53=.4(272)+.18(t-272)

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Solution for 53=.4(272)+.18(t-272) equation: 


Simplifying
53 = 0.4(272) + 0.18(t + -272)

Multiply 0.4 * 272
53 = 108.8 + 0.18(t + -272)

Reorder the terms:
53 = 108.8 + 0.18(-272 + t)
53 = 108.8 + (-272 * 0.18 + t * 0.18)
53 = 108.8 + (-48.96 + 0.18t)

Combine like terms: 108.8 + -48.96 = 59.84
53 = 59.84 + 0.18t

Solving
53 = 59.84 + 0.18t

Solving for variable 't'.

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

Add '-0.18t' to each side of the equation.
53 + -0.18t = 59.84 + 0.18t + -0.18t

Combine like terms: 0.18t + -0.18t = 0.00
53 + -0.18t = 59.84 + 0.00
53 + -0.18t = 59.84

Add '-53' to each side of the equation.
53 + -53 + -0.18t = 59.84 + -53

Combine like terms: 53 + -53 = 0
0 + -0.18t = 59.84 + -53
-0.18t = 59.84 + -53

Combine like terms: 59.84 + -53 = 6.84
-0.18t = 6.84

Divide each side by '-0.18'.
t = -38

Simplifying
t = -38

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