3p+2(5p-6)=19+4(7-2p)

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Solution for 3p+2(5p-6)=19+4(7-2p) equation:


Simplifying
3p + 2(5p + -6) = 19 + 4(7 + -2p)

Reorder the terms:
3p + 2(-6 + 5p) = 19 + 4(7 + -2p)
3p + (-6 * 2 + 5p * 2) = 19 + 4(7 + -2p)
3p + (-12 + 10p) = 19 + 4(7 + -2p)

Reorder the terms:
-12 + 3p + 10p = 19 + 4(7 + -2p)

Combine like terms: 3p + 10p = 13p
-12 + 13p = 19 + 4(7 + -2p)
-12 + 13p = 19 + (7 * 4 + -2p * 4)
-12 + 13p = 19 + (28 + -8p)

Combine like terms: 19 + 28 = 47
-12 + 13p = 47 + -8p

Solving
-12 + 13p = 47 + -8p

Solving for variable 'p'.

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

Add '8p' to each side of the equation.
-12 + 13p + 8p = 47 + -8p + 8p

Combine like terms: 13p + 8p = 21p
-12 + 21p = 47 + -8p + 8p

Combine like terms: -8p + 8p = 0
-12 + 21p = 47 + 0
-12 + 21p = 47

Add '12' to each side of the equation.
-12 + 12 + 21p = 47 + 12

Combine like terms: -12 + 12 = 0
0 + 21p = 47 + 12
21p = 47 + 12

Combine like terms: 47 + 12 = 59
21p = 59

Divide each side by '21'.
p = 2.80952381

Simplifying
p = 2.80952381

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