30+6p=7(p+6)-5

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Solution for 30+6p=7(p+6)-5 equation:


Simplifying
30 + 6p = 7(p + 6) + -5

Reorder the terms:
30 + 6p = 7(6 + p) + -5
30 + 6p = (6 * 7 + p * 7) + -5
30 + 6p = (42 + 7p) + -5

Reorder the terms:
30 + 6p = 42 + -5 + 7p

Combine like terms: 42 + -5 = 37
30 + 6p = 37 + 7p

Solving
30 + 6p = 37 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.
30 + 6p + -7p = 37 + 7p + -7p

Combine like terms: 6p + -7p = -1p
30 + -1p = 37 + 7p + -7p

Combine like terms: 7p + -7p = 0
30 + -1p = 37 + 0
30 + -1p = 37

Add '-30' to each side of the equation.
30 + -30 + -1p = 37 + -30

Combine like terms: 30 + -30 = 0
0 + -1p = 37 + -30
-1p = 37 + -30

Combine like terms: 37 + -30 = 7
-1p = 7

Divide each side by '-1'.
p = -7

Simplifying
p = -7

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