-3(7p+5)-2(6-20p)=3(5+6p)

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Solution for -3(7p+5)-2(6-20p)=3(5+6p) equation:


Simplifying
-3(7p + 5) + -2(6 + -20p) = 3(5 + 6p)

Reorder the terms:
-3(5 + 7p) + -2(6 + -20p) = 3(5 + 6p)
(5 * -3 + 7p * -3) + -2(6 + -20p) = 3(5 + 6p)
(-15 + -21p) + -2(6 + -20p) = 3(5 + 6p)
-15 + -21p + (6 * -2 + -20p * -2) = 3(5 + 6p)
-15 + -21p + (-12 + 40p) = 3(5 + 6p)

Reorder the terms:
-15 + -12 + -21p + 40p = 3(5 + 6p)

Combine like terms: -15 + -12 = -27
-27 + -21p + 40p = 3(5 + 6p)

Combine like terms: -21p + 40p = 19p
-27 + 19p = 3(5 + 6p)
-27 + 19p = (5 * 3 + 6p * 3)
-27 + 19p = (15 + 18p)

Solving
-27 + 19p = 15 + 18p

Solving for variable 'p'.

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

Add '-18p' to each side of the equation.
-27 + 19p + -18p = 15 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-27 + 1p = 15 + 18p + -18p

Combine like terms: 18p + -18p = 0
-27 + 1p = 15 + 0
-27 + 1p = 15

Add '27' to each side of the equation.
-27 + 27 + 1p = 15 + 27

Combine like terms: -27 + 27 = 0
0 + 1p = 15 + 27
1p = 15 + 27

Combine like terms: 15 + 27 = 42
1p = 42

Divide each side by '1'.
p = 42

Simplifying
p = 42

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