4P=3(P-2)-5(Q-6)

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Solution for 4P=3(P-2)-5(Q-6) equation:


Simplifying
4P = 3(P + -2) + -5(Q + -6)

Reorder the terms:
4P = 3(-2 + P) + -5(Q + -6)
4P = (-2 * 3 + P * 3) + -5(Q + -6)
4P = (-6 + 3P) + -5(Q + -6)

Reorder the terms:
4P = -6 + 3P + -5(-6 + Q)
4P = -6 + 3P + (-6 * -5 + Q * -5)
4P = -6 + 3P + (30 + -5Q)

Reorder the terms:
4P = -6 + 30 + 3P + -5Q

Combine like terms: -6 + 30 = 24
4P = 24 + 3P + -5Q

Solving
4P = 24 + 3P + -5Q

Solving for variable 'P'.

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

Add '-3P' to each side of the equation.
4P + -3P = 24 + 3P + -3P + -5Q

Combine like terms: 4P + -3P = 1P
1P = 24 + 3P + -3P + -5Q

Combine like terms: 3P + -3P = 0
1P = 24 + 0 + -5Q
1P = 24 + -5Q

Divide each side by '1'.
P = 24 + -5Q

Simplifying
P = 24 + -5Q

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