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

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


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

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

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

Reorder the terms:
-12 + 5 + 4am + -1m = -52

Combine like terms: -12 + 5 = -7
-7 + 4am + -1m = -52

Solving
-7 + 4am + -1m = -52

Solving for variable 'a'.

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

Add '7' to each side of the equation.
-7 + 4am + 7 + -1m = -52 + 7

Reorder the terms:
-7 + 7 + 4am + -1m = -52 + 7

Combine like terms: -7 + 7 = 0
0 + 4am + -1m = -52 + 7
4am + -1m = -52 + 7

Combine like terms: -52 + 7 = -45
4am + -1m = -45

Add 'm' to each side of the equation.
4am + -1m + m = -45 + m

Combine like terms: -1m + m = 0
4am + 0 = -45 + m
4am = -45 + m

Divide each side by '4m'.
a = -11.25m-1 + 0.25

Simplifying
a = -11.25m-1 + 0.25

Reorder the terms:
a = 0.25 + -11.25m-1

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