-3(4p+3)-2(6-14)=3(6+5p)

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Solution for -3(4p+3)-2(6-14)=3(6+5p) equation:


Simplifying
-3(4p + 3) + -2(6 + -14) = 3(6 + 5p)

Reorder the terms:
-3(3 + 4p) + -2(6 + -14) = 3(6 + 5p)
(3 * -3 + 4p * -3) + -2(6 + -14) = 3(6 + 5p)
(-9 + -12p) + -2(6 + -14) = 3(6 + 5p)

Combine like terms: 6 + -14 = -8
-9 + -12p + -2(-8) = 3(6 + 5p)

Multiply -2 * -8
-9 + -12p + 16 = 3(6 + 5p)

Reorder the terms:
-9 + 16 + -12p = 3(6 + 5p)

Combine like terms: -9 + 16 = 7
7 + -12p = 3(6 + 5p)
7 + -12p = (6 * 3 + 5p * 3)
7 + -12p = (18 + 15p)

Solving
7 + -12p = 18 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
7 + -12p + -15p = 18 + 15p + -15p

Combine like terms: -12p + -15p = -27p
7 + -27p = 18 + 15p + -15p

Combine like terms: 15p + -15p = 0
7 + -27p = 18 + 0
7 + -27p = 18

Add '-7' to each side of the equation.
7 + -7 + -27p = 18 + -7

Combine like terms: 7 + -7 = 0
0 + -27p = 18 + -7
-27p = 18 + -7

Combine like terms: 18 + -7 = 11
-27p = 11

Divide each side by '-27'.
p = -0.4074074074

Simplifying
p = -0.4074074074

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