4(4x-3)-(m-5)=-52

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Solution for 4(4x-3)-(m-5)=-52 equation:


Simplifying
4(4x + -3) + -1(m + -5) = -52

Reorder the terms:
4(-3 + 4x) + -1(m + -5) = -52
(-3 * 4 + 4x * 4) + -1(m + -5) = -52
(-12 + 16x) + -1(m + -5) = -52

Reorder the terms:
-12 + 16x + -1(-5 + m) = -52
-12 + 16x + (-5 * -1 + m * -1) = -52
-12 + 16x + (5 + -1m) = -52

Reorder the terms:
-12 + 5 + -1m + 16x = -52

Combine like terms: -12 + 5 = -7
-7 + -1m + 16x = -52

Solving
-7 + -1m + 16x = -52

Solving for variable 'm'.

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

Add '7' to each side of the equation.
-7 + -1m + 7 + 16x = -52 + 7

Reorder the terms:
-7 + 7 + -1m + 16x = -52 + 7

Combine like terms: -7 + 7 = 0
0 + -1m + 16x = -52 + 7
-1m + 16x = -52 + 7

Combine like terms: -52 + 7 = -45
-1m + 16x = -45

Add '-16x' to each side of the equation.
-1m + 16x + -16x = -45 + -16x

Combine like terms: 16x + -16x = 0
-1m + 0 = -45 + -16x
-1m = -45 + -16x

Divide each side by '-1'.
m = 45 + 16x

Simplifying
m = 45 + 16x

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