10(1-3p)+6=4(9-7p)

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Solution for 10(1-3p)+6=4(9-7p) equation: 


Simplifying
10(1 + -3p) + 6 = 4(9 + -7p)
(1 * 10 + -3p * 10) + 6 = 4(9 + -7p)
(10 + -30p) + 6 = 4(9 + -7p)

Reorder the terms:
10 + 6 + -30p = 4(9 + -7p)

Combine like terms: 10 + 6 = 16
16 + -30p = 4(9 + -7p)
16 + -30p = (9 * 4 + -7p * 4)
16 + -30p = (36 + -28p)

Solving
16 + -30p = 36 + -28p

Solving for variable 'p'.

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

Add '28p' to each side of the equation.
16 + -30p + 28p = 36 + -28p + 28p

Combine like terms: -30p + 28p = -2p
16 + -2p = 36 + -28p + 28p

Combine like terms: -28p + 28p = 0
16 + -2p = 36 + 0
16 + -2p = 36

Add '-16' to each side of the equation.
16 + -16 + -2p = 36 + -16

Combine like terms: 16 + -16 = 0
0 + -2p = 36 + -16
-2p = 36 + -16

Combine like terms: 36 + -16 = 20
-2p = 20

Divide each side by '-2'.
p = -10

Simplifying
p = -10

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