3(2p+10)=6(p+1)-32p

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Solution for 3(2p+10)=6(p+1)-32p equation:


Simplifying
3(2p + 10) = 6(p + 1) + -32p

Reorder the terms:
3(10 + 2p) = 6(p + 1) + -32p
(10 * 3 + 2p * 3) = 6(p + 1) + -32p
(30 + 6p) = 6(p + 1) + -32p

Reorder the terms:
30 + 6p = 6(1 + p) + -32p
30 + 6p = (1 * 6 + p * 6) + -32p
30 + 6p = (6 + 6p) + -32p

Combine like terms: 6p + -32p = -26p
30 + 6p = 6 + -26p

Solving
30 + 6p = 6 + -26p

Solving for variable 'p'.

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

Add '26p' to each side of the equation.
30 + 6p + 26p = 6 + -26p + 26p

Combine like terms: 6p + 26p = 32p
30 + 32p = 6 + -26p + 26p

Combine like terms: -26p + 26p = 0
30 + 32p = 6 + 0
30 + 32p = 6

Add '-30' to each side of the equation.
30 + -30 + 32p = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 32p = 6 + -30
32p = 6 + -30

Combine like terms: 6 + -30 = -24
32p = -24

Divide each side by '32'.
p = -0.75

Simplifying
p = -0.75

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