9(2m-4)-(m-3)=-16

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Solution for 9(2m-4)-(m-3)=-16 equation:


Simplifying
9(2m + -4) + -1(m + -3) = -16

Reorder the terms:
9(-4 + 2m) + -1(m + -3) = -16
(-4 * 9 + 2m * 9) + -1(m + -3) = -16
(-36 + 18m) + -1(m + -3) = -16

Reorder the terms:
-36 + 18m + -1(-3 + m) = -16
-36 + 18m + (-3 * -1 + m * -1) = -16
-36 + 18m + (3 + -1m) = -16

Reorder the terms:
-36 + 3 + 18m + -1m = -16

Combine like terms: -36 + 3 = -33
-33 + 18m + -1m = -16

Combine like terms: 18m + -1m = 17m
-33 + 17m = -16

Solving
-33 + 17m = -16

Solving for variable 'm'.

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

Add '33' to each side of the equation.
-33 + 33 + 17m = -16 + 33

Combine like terms: -33 + 33 = 0
0 + 17m = -16 + 33
17m = -16 + 33

Combine like terms: -16 + 33 = 17
17m = 17

Divide each side by '17'.
m = 1

Simplifying
m = 1

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