40+19.95(m-3)=59.85+29.95(m-6)

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Solution for 40+19.95(m-3)=59.85+29.95(m-6) equation:


Simplifying
40 + 19.95(m + -3) = 59.85 + 29.95(m + -6)

Reorder the terms:
40 + 19.95(-3 + m) = 59.85 + 29.95(m + -6)
40 + (-3 * 19.95 + m * 19.95) = 59.85 + 29.95(m + -6)
40 + (-59.85 + 19.95m) = 59.85 + 29.95(m + -6)

Combine like terms: 40 + -59.85 = -19.85
-19.85 + 19.95m = 59.85 + 29.95(m + -6)

Reorder the terms:
-19.85 + 19.95m = 59.85 + 29.95(-6 + m)
-19.85 + 19.95m = 59.85 + (-6 * 29.95 + m * 29.95)
-19.85 + 19.95m = 59.85 + (-179.7 + 29.95m)

Combine like terms: 59.85 + -179.7 = -119.85
-19.85 + 19.95m = -119.85 + 29.95m

Solving
-19.85 + 19.95m = -119.85 + 29.95m

Solving for variable 'm'.

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

Add '-29.95m' to each side of the equation.
-19.85 + 19.95m + -29.95m = -119.85 + 29.95m + -29.95m

Combine like terms: 19.95m + -29.95m = -10m
-19.85 + -10m = -119.85 + 29.95m + -29.95m

Combine like terms: 29.95m + -29.95m = 0.00
-19.85 + -10m = -119.85 + 0.00
-19.85 + -10m = -119.85

Add '19.85' to each side of the equation.
-19.85 + 19.85 + -10m = -119.85 + 19.85

Combine like terms: -19.85 + 19.85 = 0.00
0.00 + -10m = -119.85 + 19.85
-10m = -119.85 + 19.85

Combine like terms: -119.85 + 19.85 = -100
-10m = -100

Divide each side by '-10'.
m = 10

Simplifying
m = 10

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