-0.21p-0.05(5-6p)=00.5(p-5)-0.12

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Solution for -0.21p-0.05(5-6p)=00.5(p-5)-0.12 equation:


Simplifying
-0.21p + -0.05(5 + -6p) = 0.5(p + -5) + -0.12
-0.21p + (5 * -0.05 + -6p * -0.05) = 0.5(p + -5) + -0.12
-0.21p + (-0.25 + 0.3p) = 0.5(p + -5) + -0.12

Reorder the terms:
-0.25 + -0.21p + 0.3p = 0.5(p + -5) + -0.12

Combine like terms: -0.21p + 0.3p = 0.09p
-0.25 + 0.09p = 0.5(p + -5) + -0.12

Reorder the terms:
-0.25 + 0.09p = 0.5(-5 + p) + -0.12
-0.25 + 0.09p = (-5 * 0.5 + p * 0.5) + -0.12
-0.25 + 0.09p = (-2.5 + 0.5p) + -0.12

Reorder the terms:
-0.25 + 0.09p = -2.5 + -0.12 + 0.5p

Combine like terms: -2.5 + -0.12 = -2.62
-0.25 + 0.09p = -2.62 + 0.5p

Solving
-0.25 + 0.09p = -2.62 + 0.5p

Solving for variable 'p'.

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

Add '-0.5p' to each side of the equation.
-0.25 + 0.09p + -0.5p = -2.62 + 0.5p + -0.5p

Combine like terms: 0.09p + -0.5p = -0.41p
-0.25 + -0.41p = -2.62 + 0.5p + -0.5p

Combine like terms: 0.5p + -0.5p = 0.0
-0.25 + -0.41p = -2.62 + 0.0
-0.25 + -0.41p = -2.62

Add '0.25' to each side of the equation.
-0.25 + 0.25 + -0.41p = -2.62 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + -0.41p = -2.62 + 0.25
-0.41p = -2.62 + 0.25

Combine like terms: -2.62 + 0.25 = -2.37
-0.41p = -2.37

Divide each side by '-0.41'.
p = 5.780487805

Simplifying
p = 5.780487805

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