-23p-6(5-5p)=2(p-2)-21

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Solution for -23p-6(5-5p)=2(p-2)-21 equation:


Simplifying
-23p + -6(5 + -5p) = 2(p + -2) + -21
-23p + (5 * -6 + -5p * -6) = 2(p + -2) + -21
-23p + (-30 + 30p) = 2(p + -2) + -21

Reorder the terms:
-30 + -23p + 30p = 2(p + -2) + -21

Combine like terms: -23p + 30p = 7p
-30 + 7p = 2(p + -2) + -21

Reorder the terms:
-30 + 7p = 2(-2 + p) + -21
-30 + 7p = (-2 * 2 + p * 2) + -21
-30 + 7p = (-4 + 2p) + -21

Reorder the terms:
-30 + 7p = -4 + -21 + 2p

Combine like terms: -4 + -21 = -25
-30 + 7p = -25 + 2p

Solving
-30 + 7p = -25 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-30 + 7p + -2p = -25 + 2p + -2p

Combine like terms: 7p + -2p = 5p
-30 + 5p = -25 + 2p + -2p

Combine like terms: 2p + -2p = 0
-30 + 5p = -25 + 0
-30 + 5p = -25

Add '30' to each side of the equation.
-30 + 30 + 5p = -25 + 30

Combine like terms: -30 + 30 = 0
0 + 5p = -25 + 30
5p = -25 + 30

Combine like terms: -25 + 30 = 5
5p = 5

Divide each side by '5'.
p = 1

Simplifying
p = 1

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