-3(5p+4)-2(3-14p)=3(7+4p)

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Solution for -3(5p+4)-2(3-14p)=3(7+4p) equation:


Simplifying
-3(5p + 4) + -2(3 + -14p) = 3(7 + 4p)

Reorder the terms:
-3(4 + 5p) + -2(3 + -14p) = 3(7 + 4p)
(4 * -3 + 5p * -3) + -2(3 + -14p) = 3(7 + 4p)
(-12 + -15p) + -2(3 + -14p) = 3(7 + 4p)
-12 + -15p + (3 * -2 + -14p * -2) = 3(7 + 4p)
-12 + -15p + (-6 + 28p) = 3(7 + 4p)

Reorder the terms:
-12 + -6 + -15p + 28p = 3(7 + 4p)

Combine like terms: -12 + -6 = -18
-18 + -15p + 28p = 3(7 + 4p)

Combine like terms: -15p + 28p = 13p
-18 + 13p = 3(7 + 4p)
-18 + 13p = (7 * 3 + 4p * 3)
-18 + 13p = (21 + 12p)

Solving
-18 + 13p = 21 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-18 + 13p + -12p = 21 + 12p + -12p

Combine like terms: 13p + -12p = 1p
-18 + 1p = 21 + 12p + -12p

Combine like terms: 12p + -12p = 0
-18 + 1p = 21 + 0
-18 + 1p = 21

Add '18' to each side of the equation.
-18 + 18 + 1p = 21 + 18

Combine like terms: -18 + 18 = 0
0 + 1p = 21 + 18
1p = 21 + 18

Combine like terms: 21 + 18 = 39
1p = 39

Divide each side by '1'.
p = 39

Simplifying
p = 39

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