-6p+21=4(p-5)+1

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Solution for -6p+21=4(p-5)+1 equation:


Simplifying
-6p + 21 = 4(p + -5) + 1

Reorder the terms:
21 + -6p = 4(p + -5) + 1

Reorder the terms:
21 + -6p = 4(-5 + p) + 1
21 + -6p = (-5 * 4 + p * 4) + 1
21 + -6p = (-20 + 4p) + 1

Reorder the terms:
21 + -6p = -20 + 1 + 4p

Combine like terms: -20 + 1 = -19
21 + -6p = -19 + 4p

Solving
21 + -6p = -19 + 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.
21 + -6p + -4p = -19 + 4p + -4p

Combine like terms: -6p + -4p = -10p
21 + -10p = -19 + 4p + -4p

Combine like terms: 4p + -4p = 0
21 + -10p = -19 + 0
21 + -10p = -19

Add '-21' to each side of the equation.
21 + -21 + -10p = -19 + -21

Combine like terms: 21 + -21 = 0
0 + -10p = -19 + -21
-10p = -19 + -21

Combine like terms: -19 + -21 = -40
-10p = -40

Divide each side by '-10'.
p = 4

Simplifying
p = 4

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