0.4(p+1)-0.9(p+5)=-2

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Solution for 0.4(p+1)-0.9(p+5)=-2 equation:


Simplifying
0.4(p + 1) + -0.9(p + 5) = -2

Reorder the terms:
0.4(1 + p) + -0.9(p + 5) = -2
(1 * 0.4 + p * 0.4) + -0.9(p + 5) = -2
(0.4 + 0.4p) + -0.9(p + 5) = -2

Reorder the terms:
0.4 + 0.4p + -0.9(5 + p) = -2
0.4 + 0.4p + (5 * -0.9 + p * -0.9) = -2
0.4 + 0.4p + (-4.5 + -0.9p) = -2

Reorder the terms:
0.4 + -4.5 + 0.4p + -0.9p = -2

Combine like terms: 0.4 + -4.5 = -4.1
-4.1 + 0.4p + -0.9p = -2

Combine like terms: 0.4p + -0.9p = -0.5p
-4.1 + -0.5p = -2

Solving
-4.1 + -0.5p = -2

Solving for variable 'p'.

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

Add '4.1' to each side of the equation.
-4.1 + 4.1 + -0.5p = -2 + 4.1

Combine like terms: -4.1 + 4.1 = 0.0
0.0 + -0.5p = -2 + 4.1
-0.5p = -2 + 4.1

Combine like terms: -2 + 4.1 = 2.1
-0.5p = 2.1

Divide each side by '-0.5'.
p = -4.2

Simplifying
p = -4.2

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