3=0.06t+0.11(45-t)

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Solution for 3=0.06t+0.11(45-t) equation:


Simplifying
3 = 0.06t + 0.11(45 + -1t)
3 = 0.06t + (45 * 0.11 + -1t * 0.11)
3 = 0.06t + (4.95 + -0.11t)

Reorder the terms:
3 = 4.95 + 0.06t + -0.11t

Combine like terms: 0.06t + -0.11t = -0.05t
3 = 4.95 + -0.05t

Solving
3 = 4.95 + -0.05t

Solving for variable 't'.

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

Add '0.05t' to each side of the equation.
3 + 0.05t = 4.95 + -0.05t + 0.05t

Combine like terms: -0.05t + 0.05t = 0.00
3 + 0.05t = 4.95 + 0.00
3 + 0.05t = 4.95

Add '-3' to each side of the equation.
3 + -3 + 0.05t = 4.95 + -3

Combine like terms: 3 + -3 = 0
0 + 0.05t = 4.95 + -3
0.05t = 4.95 + -3

Combine like terms: 4.95 + -3 = 1.95
0.05t = 1.95

Divide each side by '0.05'.
t = 39

Simplifying
t = 39

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