-0.07p-0.04(2-3p)=0.03(p-6)-0.1

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Solution for -0.07p-0.04(2-3p)=0.03(p-6)-0.1 equation: 


Simplifying
-0.07p + -0.04(2 + -3p) = 0.03(p + -6) + -0.1
-0.07p + (2 * -0.04 + -3p * -0.04) = 0.03(p + -6) + -0.1
-0.07p + (-0.08 + 0.12p) = 0.03(p + -6) + -0.1

Reorder the terms:
-0.08 + -0.07p + 0.12p = 0.03(p + -6) + -0.1

Combine like terms: -0.07p + 0.12p = 0.05p
-0.08 + 0.05p = 0.03(p + -6) + -0.1

Reorder the terms:
-0.08 + 0.05p = 0.03(-6 + p) + -0.1
-0.08 + 0.05p = (-6 * 0.03 + p * 0.03) + -0.1
-0.08 + 0.05p = (-0.18 + 0.03p) + -0.1

Reorder the terms:
-0.08 + 0.05p = -0.18 + -0.1 + 0.03p

Combine like terms: -0.18 + -0.1 = -0.28
-0.08 + 0.05p = -0.28 + 0.03p

Solving
-0.08 + 0.05p = -0.28 + 0.03p

Solving for variable 'p'.

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

Add '-0.03p' to each side of the equation.
-0.08 + 0.05p + -0.03p = -0.28 + 0.03p + -0.03p

Combine like terms: 0.05p + -0.03p = 0.02p
-0.08 + 0.02p = -0.28 + 0.03p + -0.03p

Combine like terms: 0.03p + -0.03p = 0.00
-0.08 + 0.02p = -0.28 + 0.00
-0.08 + 0.02p = -0.28

Add '0.08' to each side of the equation.
-0.08 + 0.08 + 0.02p = -0.28 + 0.08

Combine like terms: -0.08 + 0.08 = 0.00
0.00 + 0.02p = -0.28 + 0.08
0.02p = -0.28 + 0.08

Combine like terms: -0.28 + 0.08 = -0.2
0.02p = -0.2

Divide each side by '0.02'.
p = -10

Simplifying
p = -10

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