-.1p-.03(3-6p)=0.05(p-4)-.28

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Solution for -.1p-.03(3-6p)=0.05(p-4)-.28 equation:


Simplifying
-0.1p + -0.03(3 + -6p) = 0.05(p + -4) + -0.28
-0.1p + (3 * -0.03 + -6p * -0.03) = 0.05(p + -4) + -0.28
-0.1p + (-0.09 + 0.18p) = 0.05(p + -4) + -0.28

Reorder the terms:
-0.09 + -0.1p + 0.18p = 0.05(p + -4) + -0.28

Combine like terms: -0.1p + 0.18p = 0.08p
-0.09 + 0.08p = 0.05(p + -4) + -0.28

Reorder the terms:
-0.09 + 0.08p = 0.05(-4 + p) + -0.28
-0.09 + 0.08p = (-4 * 0.05 + p * 0.05) + -0.28
-0.09 + 0.08p = (-0.2 + 0.05p) + -0.28

Reorder the terms:
-0.09 + 0.08p = -0.2 + -0.28 + 0.05p

Combine like terms: -0.2 + -0.28 = -0.48
-0.09 + 0.08p = -0.48 + 0.05p

Solving
-0.09 + 0.08p = -0.48 + 0.05p

Solving for variable 'p'.

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

Add '-0.05p' to each side of the equation.
-0.09 + 0.08p + -0.05p = -0.48 + 0.05p + -0.05p

Combine like terms: 0.08p + -0.05p = 0.03p
-0.09 + 0.03p = -0.48 + 0.05p + -0.05p

Combine like terms: 0.05p + -0.05p = 0.00
-0.09 + 0.03p = -0.48 + 0.00
-0.09 + 0.03p = -0.48

Add '0.09' to each side of the equation.
-0.09 + 0.09 + 0.03p = -0.48 + 0.09

Combine like terms: -0.09 + 0.09 = 0.00
0.00 + 0.03p = -0.48 + 0.09
0.03p = -0.48 + 0.09

Combine like terms: -0.48 + 0.09 = -0.39
0.03p = -0.39

Divide each side by '0.03'.
p = -13

Simplifying
p = -13

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