-3(5p+2)-2(2-14p)=3(1+4p)

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Solution for -3(5p+2)-2(2-14p)=3(1+4p) equation:


Simplifying
-3(5p + 2) + -2(2 + -14p) = 3(1 + 4p)

Reorder the terms:
-3(2 + 5p) + -2(2 + -14p) = 3(1 + 4p)
(2 * -3 + 5p * -3) + -2(2 + -14p) = 3(1 + 4p)
(-6 + -15p) + -2(2 + -14p) = 3(1 + 4p)
-6 + -15p + (2 * -2 + -14p * -2) = 3(1 + 4p)
-6 + -15p + (-4 + 28p) = 3(1 + 4p)

Reorder the terms:
-6 + -4 + -15p + 28p = 3(1 + 4p)

Combine like terms: -6 + -4 = -10
-10 + -15p + 28p = 3(1 + 4p)

Combine like terms: -15p + 28p = 13p
-10 + 13p = 3(1 + 4p)
-10 + 13p = (1 * 3 + 4p * 3)
-10 + 13p = (3 + 12p)

Solving
-10 + 13p = 3 + 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.
-10 + 13p + -12p = 3 + 12p + -12p

Combine like terms: 13p + -12p = 1p
-10 + 1p = 3 + 12p + -12p

Combine like terms: 12p + -12p = 0
-10 + 1p = 3 + 0
-10 + 1p = 3

Add '10' to each side of the equation.
-10 + 10 + 1p = 3 + 10

Combine like terms: -10 + 10 = 0
0 + 1p = 3 + 10
1p = 3 + 10

Combine like terms: 3 + 10 = 13
1p = 13

Divide each side by '1'.
p = 13

Simplifying
p = 13

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