-3(7p+5)-2(4-20p)=3(8+6p)

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Solution for -3(7p+5)-2(4-20p)=3(8+6p) equation:


Simplifying
-3(7p + 5) + -2(4 + -20p) = 3(8 + 6p)

Reorder the terms:
-3(5 + 7p) + -2(4 + -20p) = 3(8 + 6p)
(5 * -3 + 7p * -3) + -2(4 + -20p) = 3(8 + 6p)
(-15 + -21p) + -2(4 + -20p) = 3(8 + 6p)
-15 + -21p + (4 * -2 + -20p * -2) = 3(8 + 6p)
-15 + -21p + (-8 + 40p) = 3(8 + 6p)

Reorder the terms:
-15 + -8 + -21p + 40p = 3(8 + 6p)

Combine like terms: -15 + -8 = -23
-23 + -21p + 40p = 3(8 + 6p)

Combine like terms: -21p + 40p = 19p
-23 + 19p = 3(8 + 6p)
-23 + 19p = (8 * 3 + 6p * 3)
-23 + 19p = (24 + 18p)

Solving
-23 + 19p = 24 + 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.
-23 + 19p + -18p = 24 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-23 + 1p = 24 + 18p + -18p

Combine like terms: 18p + -18p = 0
-23 + 1p = 24 + 0
-23 + 1p = 24

Add '23' to each side of the equation.
-23 + 23 + 1p = 24 + 23

Combine like terms: -23 + 23 = 0
0 + 1p = 24 + 23
1p = 24 + 23

Combine like terms: 24 + 23 = 47
1p = 47

Divide each side by '1'.
p = 47

Simplifying
p = 47

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