8(p-6)=-4(p+6)-9

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Solution for 8(p-6)=-4(p+6)-9 equation:


Simplifying
8(p + -6) = -4(p + 6) + -9

Reorder the terms:
8(-6 + p) = -4(p + 6) + -9
(-6 * 8 + p * 8) = -4(p + 6) + -9
(-48 + 8p) = -4(p + 6) + -9

Reorder the terms:
-48 + 8p = -4(6 + p) + -9
-48 + 8p = (6 * -4 + p * -4) + -9
-48 + 8p = (-24 + -4p) + -9

Reorder the terms:
-48 + 8p = -24 + -9 + -4p

Combine like terms: -24 + -9 = -33
-48 + 8p = -33 + -4p

Solving
-48 + 8p = -33 + -4p

Solving for variable 'p'.

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

Add '4p' to each side of the equation.
-48 + 8p + 4p = -33 + -4p + 4p

Combine like terms: 8p + 4p = 12p
-48 + 12p = -33 + -4p + 4p

Combine like terms: -4p + 4p = 0
-48 + 12p = -33 + 0
-48 + 12p = -33

Add '48' to each side of the equation.
-48 + 48 + 12p = -33 + 48

Combine like terms: -48 + 48 = 0
0 + 12p = -33 + 48
12p = -33 + 48

Combine like terms: -33 + 48 = 15
12p = 15

Divide each side by '12'.
p = 1.25

Simplifying
p = 1.25

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