-74=2(1-7p)+3(p+4)

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Solution for -74=2(1-7p)+3(p+4) equation:


Simplifying
-74 = 2(1 + -7p) + 3(p + 4)
-74 = (1 * 2 + -7p * 2) + 3(p + 4)
-74 = (2 + -14p) + 3(p + 4)

Reorder the terms:
-74 = 2 + -14p + 3(4 + p)
-74 = 2 + -14p + (4 * 3 + p * 3)
-74 = 2 + -14p + (12 + 3p)

Reorder the terms:
-74 = 2 + 12 + -14p + 3p

Combine like terms: 2 + 12 = 14
-74 = 14 + -14p + 3p

Combine like terms: -14p + 3p = -11p
-74 = 14 + -11p

Solving
-74 = 14 + -11p

Solving for variable 'p'.

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

Add '11p' to each side of the equation.
-74 + 11p = 14 + -11p + 11p

Combine like terms: -11p + 11p = 0
-74 + 11p = 14 + 0
-74 + 11p = 14

Add '74' to each side of the equation.
-74 + 74 + 11p = 14 + 74

Combine like terms: -74 + 74 = 0
0 + 11p = 14 + 74
11p = 14 + 74

Combine like terms: 14 + 74 = 88
11p = 88

Divide each side by '11'.
p = 8

Simplifying
p = 8

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