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

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


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

Reorder the terms:
-3(3 + 4p) + -2(4 + -14p) = 3(3 + 5p)
(3 * -3 + 4p * -3) + -2(4 + -14p) = 3(3 + 5p)
(-9 + -12p) + -2(4 + -14p) = 3(3 + 5p)
-9 + -12p + (4 * -2 + -14p * -2) = 3(3 + 5p)
-9 + -12p + (-8 + 28p) = 3(3 + 5p)

Reorder the terms:
-9 + -8 + -12p + 28p = 3(3 + 5p)

Combine like terms: -9 + -8 = -17
-17 + -12p + 28p = 3(3 + 5p)

Combine like terms: -12p + 28p = 16p
-17 + 16p = 3(3 + 5p)
-17 + 16p = (3 * 3 + 5p * 3)
-17 + 16p = (9 + 15p)

Solving
-17 + 16p = 9 + 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.
-17 + 16p + -15p = 9 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-17 + 1p = 9 + 15p + -15p

Combine like terms: 15p + -15p = 0
-17 + 1p = 9 + 0
-17 + 1p = 9

Add '17' to each side of the equation.
-17 + 17 + 1p = 9 + 17

Combine like terms: -17 + 17 = 0
0 + 1p = 9 + 17
1p = 9 + 17

Combine like terms: 9 + 17 = 26
1p = 26

Divide each side by '1'.
p = 26

Simplifying
p = 26

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