6p+8(1-4p)=-8p-28

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Solution for 6p+8(1-4p)=-8p-28 equation: 


Simplifying
6p + 8(1 + -4p) = -8p + -28
6p + (1 * 8 + -4p * 8) = -8p + -28
6p + (8 + -32p) = -8p + -28

Reorder the terms:
8 + 6p + -32p = -8p + -28

Combine like terms: 6p + -32p = -26p
8 + -26p = -8p + -28

Reorder the terms:
8 + -26p = -28 + -8p

Solving
8 + -26p = -28 + -8p

Solving for variable 'p'.

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

Add '8p' to each side of the equation.
8 + -26p + 8p = -28 + -8p + 8p

Combine like terms: -26p + 8p = -18p
8 + -18p = -28 + -8p + 8p

Combine like terms: -8p + 8p = 0
8 + -18p = -28 + 0
8 + -18p = -28

Add '-8' to each side of the equation.
8 + -8 + -18p = -28 + -8

Combine like terms: 8 + -8 = 0
0 + -18p = -28 + -8
-18p = -28 + -8

Combine like terms: -28 + -8 = -36
-18p = -36

Divide each side by '-18'.
p = 2

Simplifying
p = 2

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