0.01p+0.25(p+3)+0.1(p-2)+0.05=5.77

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Solution for 0.01p+0.25(p+3)+0.1(p-2)+0.05=5.77 equation:


Simplifying
0.01p + 0.25(p + 3) + 0.1(p + -2) + 0.05 = 5.77

Reorder the terms:
0.01p + 0.25(3 + p) + 0.1(p + -2) + 0.05 = 5.77
0.01p + (3 * 0.25 + p * 0.25) + 0.1(p + -2) + 0.05 = 5.77
0.01p + (0.75 + 0.25p) + 0.1(p + -2) + 0.05 = 5.77

Reorder the terms:
0.01p + 0.75 + 0.25p + 0.1(-2 + p) + 0.05 = 5.77
0.01p + 0.75 + 0.25p + (-2 * 0.1 + p * 0.1) + 0.05 = 5.77
0.01p + 0.75 + 0.25p + (-0.2 + 0.1p) + 0.05 = 5.77

Reorder the terms:
0.75 + -0.2 + 0.05 + 0.01p + 0.25p + 0.1p = 5.77

Combine like terms: 0.75 + -0.2 = 0.55
0.55 + 0.05 + 0.01p + 0.25p + 0.1p = 5.77

Combine like terms: 0.55 + 0.05 = 0.6
0.6 + 0.01p + 0.25p + 0.1p = 5.77

Combine like terms: 0.01p + 0.25p = 0.26p
0.6 + 0.26p + 0.1p = 5.77

Combine like terms: 0.26p + 0.1p = 0.36p
0.6 + 0.36p = 5.77

Solving
0.6 + 0.36p = 5.77

Solving for variable 'p'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.36p = 5.77 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.36p = 5.77 + -0.6
0.36p = 5.77 + -0.6

Combine like terms: 5.77 + -0.6 = 5.17
0.36p = 5.17

Divide each side by '0.36'.
p = 14.36111111

Simplifying
p = 14.36111111

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