2(p+2)=1.8-2-0.2(p+5)

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Solution for 2(p+2)=1.8-2-0.2(p+5) equation:


Simplifying
2(p + 2) = 1.8 + -2 + -0.2(p + 5)

Reorder the terms:
2(2 + p) = 1.8 + -2 + -0.2(p + 5)
(2 * 2 + p * 2) = 1.8 + -2 + -0.2(p + 5)
(4 + 2p) = 1.8 + -2 + -0.2(p + 5)

Reorder the terms:
4 + 2p = 1.8 + -2 + -0.2(5 + p)
4 + 2p = 1.8 + -2 + (5 * -0.2 + p * -0.2)
4 + 2p = 1.8 + -2 + (-1 + -0.2p)

Combine like terms: 1.8 + -2 = -0.2
4 + 2p = -0.2 + -1 + -0.2p

Combine like terms: -0.2 + -1 = -1.2
4 + 2p = -1.2 + -0.2p

Solving
4 + 2p = -1.2 + -0.2p

Solving for variable 'p'.

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

Add '0.2p' to each side of the equation.
4 + 2p + 0.2p = -1.2 + -0.2p + 0.2p

Combine like terms: 2p + 0.2p = 2.2p
4 + 2.2p = -1.2 + -0.2p + 0.2p

Combine like terms: -0.2p + 0.2p = 0.0
4 + 2.2p = -1.2 + 0.0
4 + 2.2p = -1.2

Add '-4' to each side of the equation.
4 + -4 + 2.2p = -1.2 + -4

Combine like terms: 4 + -4 = 0
0 + 2.2p = -1.2 + -4
2.2p = -1.2 + -4

Combine like terms: -1.2 + -4 = -5.2
2.2p = -5.2

Divide each side by '2.2'.
p = -2.363636364

Simplifying
p = -2.363636364

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