4(p-3)-2p=6(p+15)-10

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Solution for 4(p-3)-2p=6(p+15)-10 equation:


Simplifying
4(p + -3) + -2p = 6(p + 15) + -10

Reorder the terms:
4(-3 + p) + -2p = 6(p + 15) + -10
(-3 * 4 + p * 4) + -2p = 6(p + 15) + -10
(-12 + 4p) + -2p = 6(p + 15) + -10

Combine like terms: 4p + -2p = 2p
-12 + 2p = 6(p + 15) + -10

Reorder the terms:
-12 + 2p = 6(15 + p) + -10
-12 + 2p = (15 * 6 + p * 6) + -10
-12 + 2p = (90 + 6p) + -10

Reorder the terms:
-12 + 2p = 90 + -10 + 6p

Combine like terms: 90 + -10 = 80
-12 + 2p = 80 + 6p

Solving
-12 + 2p = 80 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-12 + 2p + -6p = 80 + 6p + -6p

Combine like terms: 2p + -6p = -4p
-12 + -4p = 80 + 6p + -6p

Combine like terms: 6p + -6p = 0
-12 + -4p = 80 + 0
-12 + -4p = 80

Add '12' to each side of the equation.
-12 + 12 + -4p = 80 + 12

Combine like terms: -12 + 12 = 0
0 + -4p = 80 + 12
-4p = 80 + 12

Combine like terms: 80 + 12 = 92
-4p = 92

Divide each side by '-4'.
p = -23

Simplifying
p = -23

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