-3(6p+4)-2(6-17p)=3(8+5)

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Solution for -3(6p+4)-2(6-17p)=3(8+5) equation:


Simplifying
-3(6p + 4) + -2(6 + -17p) = 3(8 + 5)

Reorder the terms:
-3(4 + 6p) + -2(6 + -17p) = 3(8 + 5)
(4 * -3 + 6p * -3) + -2(6 + -17p) = 3(8 + 5)
(-12 + -18p) + -2(6 + -17p) = 3(8 + 5)
-12 + -18p + (6 * -2 + -17p * -2) = 3(8 + 5)
-12 + -18p + (-12 + 34p) = 3(8 + 5)

Reorder the terms:
-12 + -12 + -18p + 34p = 3(8 + 5)

Combine like terms: -12 + -12 = -24
-24 + -18p + 34p = 3(8 + 5)

Combine like terms: -18p + 34p = 16p
-24 + 16p = 3(8 + 5)

Combine like terms: 8 + 5 = 13
-24 + 16p = 3(13)

Multiply 3 * 13
-24 + 16p = 39

Solving
-24 + 16p = 39

Solving for variable 'p'.

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

Add '24' to each side of the equation.
-24 + 24 + 16p = 39 + 24

Combine like terms: -24 + 24 = 0
0 + 16p = 39 + 24
16p = 39 + 24

Combine like terms: 39 + 24 = 63
16p = 63

Divide each side by '16'.
p = 3.9375

Simplifying
p = 3.9375

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