6(6p+7)=186

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Solution for 6(6p+7)=186 equation:


Simplifying
6(6p + 7) = 186

Reorder the terms:
6(7 + 6p) = 186
(7 * 6 + 6p * 6) = 186
(42 + 36p) = 186

Solving
42 + 36p = 186

Solving for variable 'p'.

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

Add '-42' to each side of the equation.
42 + -42 + 36p = 186 + -42

Combine like terms: 42 + -42 = 0
0 + 36p = 186 + -42
36p = 186 + -42

Combine like terms: 186 + -42 = 144
36p = 144

Divide each side by '36'.
p = 4

Simplifying
p = 4

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