0.2(p-5)=0.6p+0.1p+1

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Solution for 0.2(p-5)=0.6p+0.1p+1 equation:


Simplifying
0.2(p + -5) = 0.6p + 0.1p + 1

Reorder the terms:
0.2(-5 + p) = 0.6p + 0.1p + 1
(-5 * 0.2 + p * 0.2) = 0.6p + 0.1p + 1
(-1 + 0.2p) = 0.6p + 0.1p + 1

Reorder the terms:
-1 + 0.2p = 1 + 0.6p + 0.1p

Combine like terms: 0.6p + 0.1p = 0.7p
-1 + 0.2p = 1 + 0.7p

Solving
-1 + 0.2p = 1 + 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.
-1 + 0.2p + -0.7p = 1 + 0.7p + -0.7p

Combine like terms: 0.2p + -0.7p = -0.5p
-1 + -0.5p = 1 + 0.7p + -0.7p

Combine like terms: 0.7p + -0.7p = 0.0
-1 + -0.5p = 1 + 0.0
-1 + -0.5p = 1

Add '1' to each side of the equation.
-1 + 1 + -0.5p = 1 + 1

Combine like terms: -1 + 1 = 0
0 + -0.5p = 1 + 1
-0.5p = 1 + 1

Combine like terms: 1 + 1 = 2
-0.5p = 2

Divide each side by '-0.5'.
p = -4

Simplifying
p = -4

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