7(m-21)-4(7m-28)=28

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Solution for 7(m-21)-4(7m-28)=28 equation:


Simplifying
7(m + -21) + -4(7m + -28) = 28

Reorder the terms:
7(-21 + m) + -4(7m + -28) = 28
(-21 * 7 + m * 7) + -4(7m + -28) = 28
(-147 + 7m) + -4(7m + -28) = 28

Reorder the terms:
-147 + 7m + -4(-28 + 7m) = 28
-147 + 7m + (-28 * -4 + 7m * -4) = 28
-147 + 7m + (112 + -28m) = 28

Reorder the terms:
-147 + 112 + 7m + -28m = 28

Combine like terms: -147 + 112 = -35
-35 + 7m + -28m = 28

Combine like terms: 7m + -28m = -21m
-35 + -21m = 28

Solving
-35 + -21m = 28

Solving for variable 'm'.

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

Add '35' to each side of the equation.
-35 + 35 + -21m = 28 + 35

Combine like terms: -35 + 35 = 0
0 + -21m = 28 + 35
-21m = 28 + 35

Combine like terms: 28 + 35 = 63
-21m = 63

Divide each side by '-21'.
m = -3

Simplifying
m = -3

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