4.5=0.06t+0.11(45-t)

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Solution for 4.5=0.06t+0.11(45-t) equation:


Simplifying
4.5 = 0.06t + 0.11(45 + -1t)
4.5 = 0.06t + (45 * 0.11 + -1t * 0.11)
4.5 = 0.06t + (4.95 + -0.11t)

Reorder the terms:
4.5 = 4.95 + 0.06t + -0.11t

Combine like terms: 0.06t + -0.11t = -0.05t
4.5 = 4.95 + -0.05t

Solving
4.5 = 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.
4.5 + 0.05t = 4.95 + -0.05t + 0.05t

Combine like terms: -0.05t + 0.05t = 0.00
4.5 + 0.05t = 4.95 + 0.00
4.5 + 0.05t = 4.95

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 0.05t = 4.95 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 0.05t = 4.95 + -4.5
0.05t = 4.95 + -4.5

Combine like terms: 4.95 + -4.5 = 0.45
0.05t = 0.45

Divide each side by '0.05'.
t = 9

Simplifying
t = 9

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