29.5=19.5+0.25(m-200)

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Solution for 29.5=19.5+0.25(m-200) equation:


Simplifying
29.5 = 19.5 + 0.25(m + -200)

Reorder the terms:
29.5 = 19.5 + 0.25(-200 + m)
29.5 = 19.5 + (-200 * 0.25 + m * 0.25)
29.5 = 19.5 + (-50 + 0.25m)

Combine like terms: 19.5 + -50 = -30.5
29.5 = -30.5 + 0.25m

Solving
29.5 = -30.5 + 0.25m

Solving for variable 'm'.

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

Add '-0.25m' to each side of the equation.
29.5 + -0.25m = -30.5 + 0.25m + -0.25m

Combine like terms: 0.25m + -0.25m = 0.00
29.5 + -0.25m = -30.5 + 0.00
29.5 + -0.25m = -30.5

Add '-29.5' to each side of the equation.
29.5 + -29.5 + -0.25m = -30.5 + -29.5

Combine like terms: 29.5 + -29.5 = 0.0
0.0 + -0.25m = -30.5 + -29.5
-0.25m = -30.5 + -29.5

Combine like terms: -30.5 + -29.5 = -60
-0.25m = -60

Divide each side by '-0.25'.
m = 240

Simplifying
m = 240

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