3p-7=3(5p-7)-2(6p-7)

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Solution for 3p-7=3(5p-7)-2(6p-7) equation:


Simplifying
3p + -7 = 3(5p + -7) + -2(6p + -7)

Reorder the terms:
-7 + 3p = 3(5p + -7) + -2(6p + -7)

Reorder the terms:
-7 + 3p = 3(-7 + 5p) + -2(6p + -7)
-7 + 3p = (-7 * 3 + 5p * 3) + -2(6p + -7)
-7 + 3p = (-21 + 15p) + -2(6p + -7)

Reorder the terms:
-7 + 3p = -21 + 15p + -2(-7 + 6p)
-7 + 3p = -21 + 15p + (-7 * -2 + 6p * -2)
-7 + 3p = -21 + 15p + (14 + -12p)

Reorder the terms:
-7 + 3p = -21 + 14 + 15p + -12p

Combine like terms: -21 + 14 = -7
-7 + 3p = -7 + 15p + -12p

Combine like terms: 15p + -12p = 3p
-7 + 3p = -7 + 3p

Add '7' to each side of the equation.
-7 + 7 + 3p = -7 + 7 + 3p

Combine like terms: -7 + 7 = 0
0 + 3p = -7 + 7 + 3p
3p = -7 + 7 + 3p

Combine like terms: -7 + 7 = 0
3p = 0 + 3p
3p = 3p

Add '-3p' to each side of the equation.
3p + -3p = 3p + -3p

Combine like terms: 3p + -3p = 0
0 = 3p + -3p

Combine like terms: 3p + -3p = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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