0.7+2=0.5(p+6)+0.2(p+1)

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Solution for 0.7+2=0.5(p+6)+0.2(p+1) equation: 


Simplifying
0.7 + 2 = 0.5(p + 6) + 0.2(p + 1)

Combine like terms: 0.7 + 2 = 2.7
2.7 = 0.5(p + 6) + 0.2(p + 1)

Reorder the terms:
2.7 = 0.5(6 + p) + 0.2(p + 1)
2.7 = (6 * 0.5 + p * 0.5) + 0.2(p + 1)
2.7 = (3 + 0.5p) + 0.2(p + 1)

Reorder the terms:
2.7 = 3 + 0.5p + 0.2(1 + p)
2.7 = 3 + 0.5p + (1 * 0.2 + p * 0.2)
2.7 = 3 + 0.5p + (0.2 + 0.2p)

Reorder the terms:
2.7 = 3 + 0.2 + 0.5p + 0.2p

Combine like terms: 3 + 0.2 = 3.2
2.7 = 3.2 + 0.5p + 0.2p

Combine like terms: 0.5p + 0.2p = 0.7p
2.7 = 3.2 + 0.7p

Solving
2.7 = 3.2 + 0.7p

Solving for variable 'p'.

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

Add '-0.7p' to each side of the equation.
2.7 + -0.7p = 3.2 + 0.7p + -0.7p

Combine like terms: 0.7p + -0.7p = 0.0
2.7 + -0.7p = 3.2 + 0.0
2.7 + -0.7p = 3.2

Add '-2.7' to each side of the equation.
2.7 + -2.7 + -0.7p = 3.2 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + -0.7p = 3.2 + -2.7
-0.7p = 3.2 + -2.7

Combine like terms: 3.2 + -2.7 = 0.5
-0.7p = 0.5

Divide each side by '-0.7'.
p = -0.7142857143

Simplifying
p = -0.7142857143

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