7p-(3p+4)=-2(2p-1)10

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Solution for 7p-(3p+4)=-2(2p-1)10 equation:


Simplifying
7p + -1(3p + 4) = -2(2p + -1) * 10

Reorder the terms:
7p + -1(4 + 3p) = -2(2p + -1) * 10
7p + (4 * -1 + 3p * -1) = -2(2p + -1) * 10
7p + (-4 + -3p) = -2(2p + -1) * 10

Reorder the terms:
-4 + 7p + -3p = -2(2p + -1) * 10

Combine like terms: 7p + -3p = 4p
-4 + 4p = -2(2p + -1) * 10

Reorder the terms:
-4 + 4p = -2(-1 + 2p) * 10

Reorder the terms for easier multiplication:
-4 + 4p = -2 * 10(-1 + 2p)

Multiply -2 * 10
-4 + 4p = -20(-1 + 2p)
-4 + 4p = (-1 * -20 + 2p * -20)
-4 + 4p = (20 + -40p)

Solving
-4 + 4p = 20 + -40p

Solving for variable 'p'.

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

Add '40p' to each side of the equation.
-4 + 4p + 40p = 20 + -40p + 40p

Combine like terms: 4p + 40p = 44p
-4 + 44p = 20 + -40p + 40p

Combine like terms: -40p + 40p = 0
-4 + 44p = 20 + 0
-4 + 44p = 20

Add '4' to each side of the equation.
-4 + 4 + 44p = 20 + 4

Combine like terms: -4 + 4 = 0
0 + 44p = 20 + 4
44p = 20 + 4

Combine like terms: 20 + 4 = 24
44p = 24

Divide each side by '44'.
p = 0.5454545455

Simplifying
p = 0.5454545455

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