5p+30=30(p+6)

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Solution for 5p+30=30(p+6) equation:


Simplifying
5p + 30 = 30(p + 6)

Reorder the terms:
30 + 5p = 30(p + 6)

Reorder the terms:
30 + 5p = 30(6 + p)
30 + 5p = (6 * 30 + p * 30)
30 + 5p = (180 + 30p)

Solving
30 + 5p = 180 + 30p

Solving for variable 'p'.

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

Add '-30p' to each side of the equation.
30 + 5p + -30p = 180 + 30p + -30p

Combine like terms: 5p + -30p = -25p
30 + -25p = 180 + 30p + -30p

Combine like terms: 30p + -30p = 0
30 + -25p = 180 + 0
30 + -25p = 180

Add '-30' to each side of the equation.
30 + -30 + -25p = 180 + -30

Combine like terms: 30 + -30 = 0
0 + -25p = 180 + -30
-25p = 180 + -30

Combine like terms: 180 + -30 = 150
-25p = 150

Divide each side by '-25'.
p = -6

Simplifying
p = -6

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