-7.1+4.4(-.9m+6.4)=-1.158(-7.2-2.9m)-3.97m

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Solution for -7.1+4.4(-.9m+6.4)=-1.158(-7.2-2.9m)-3.97m equation: 


Simplifying
-7.1 + 4.4(-0.9m + 6.4) = -1.158(-7.2 + -2.9m) + -3.97m

Reorder the terms:
-7.1 + 4.4(6.4 + -0.9m) = -1.158(-7.2 + -2.9m) + -3.97m
-7.1 + (6.4 * 4.4 + -0.9m * 4.4) = -1.158(-7.2 + -2.9m) + -3.97m
-7.1 + (28.16 + -3.96m) = -1.158(-7.2 + -2.9m) + -3.97m

Combine like terms: -7.1 + 28.16 = 21.06
21.06 + -3.96m = -1.158(-7.2 + -2.9m) + -3.97m
21.06 + -3.96m = (-7.2 * -1.158 + -2.9m * -1.158) + -3.97m
21.06 + -3.96m = (8.3376 + 3.3582m) + -3.97m

Combine like terms: 3.3582m + -3.97m = -0.6118m
21.06 + -3.96m = 8.3376 + -0.6118m

Solving
21.06 + -3.96m = 8.3376 + -0.6118m

Solving for variable 'm'.

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

Add '0.6118m' to each side of the equation.
21.06 + -3.96m + 0.6118m = 8.3376 + -0.6118m + 0.6118m

Combine like terms: -3.96m + 0.6118m = -3.3482m
21.06 + -3.3482m = 8.3376 + -0.6118m + 0.6118m

Combine like terms: -0.6118m + 0.6118m = 0.0000
21.06 + -3.3482m = 8.3376 + 0.0000
21.06 + -3.3482m = 8.3376

Add '-21.06' to each side of the equation.
21.06 + -21.06 + -3.3482m = 8.3376 + -21.06

Combine like terms: 21.06 + -21.06 = 0.00
0.00 + -3.3482m = 8.3376 + -21.06
-3.3482m = 8.3376 + -21.06

Combine like terms: 8.3376 + -21.06 = -12.7224
-3.3482m = -12.7224

Divide each side by '-3.3482'.
m = 3.799773012

Simplifying
m = 3.799773012

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