3(4p-5)=7p-30

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Solution for 3(4p-5)=7p-30 equation:


Simplifying
3(4p + -5) = 7p + -30

Reorder the terms:
3(-5 + 4p) = 7p + -30
(-5 * 3 + 4p * 3) = 7p + -30
(-15 + 12p) = 7p + -30

Reorder the terms:
-15 + 12p = -30 + 7p

Solving
-15 + 12p = -30 + 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.
-15 + 12p + -7p = -30 + 7p + -7p

Combine like terms: 12p + -7p = 5p
-15 + 5p = -30 + 7p + -7p

Combine like terms: 7p + -7p = 0
-15 + 5p = -30 + 0
-15 + 5p = -30

Add '15' to each side of the equation.
-15 + 15 + 5p = -30 + 15

Combine like terms: -15 + 15 = 0
0 + 5p = -30 + 15
5p = -30 + 15

Combine like terms: -30 + 15 = -15
5p = -15

Divide each side by '5'.
p = -3

Simplifying
p = -3

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