5(4p-6)-3(2p+7)=

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Solution for 5(4p-6)-3(2p+7)= equation:


Simplifying
5(4p + -6) + -3(2p + 7) = 0

Reorder the terms:
5(-6 + 4p) + -3(2p + 7) = 0
(-6 * 5 + 4p * 5) + -3(2p + 7) = 0
(-30 + 20p) + -3(2p + 7) = 0

Reorder the terms:
-30 + 20p + -3(7 + 2p) = 0
-30 + 20p + (7 * -3 + 2p * -3) = 0
-30 + 20p + (-21 + -6p) = 0

Reorder the terms:
-30 + -21 + 20p + -6p = 0

Combine like terms: -30 + -21 = -51
-51 + 20p + -6p = 0

Combine like terms: 20p + -6p = 14p
-51 + 14p = 0

Solving
-51 + 14p = 0

Solving for variable 'p'.

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

Add '51' to each side of the equation.
-51 + 51 + 14p = 0 + 51

Combine like terms: -51 + 51 = 0
0 + 14p = 0 + 51
14p = 0 + 51

Combine like terms: 0 + 51 = 51
14p = 51

Divide each side by '14'.
p = 3.642857143

Simplifying
p = 3.642857143

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