6(p+6)=-7(p-10)

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Solution for 6(p+6)=-7(p-10) equation:


Simplifying
6(p + 6) = -7(p + -10)

Reorder the terms:
6(6 + p) = -7(p + -10)
(6 * 6 + p * 6) = -7(p + -10)
(36 + 6p) = -7(p + -10)

Reorder the terms:
36 + 6p = -7(-10 + p)
36 + 6p = (-10 * -7 + p * -7)
36 + 6p = (70 + -7p)

Solving
36 + 6p = 70 + -7p

Solving for variable 'p'.

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

Add '7p' to each side of the equation.
36 + 6p + 7p = 70 + -7p + 7p

Combine like terms: 6p + 7p = 13p
36 + 13p = 70 + -7p + 7p

Combine like terms: -7p + 7p = 0
36 + 13p = 70 + 0
36 + 13p = 70

Add '-36' to each side of the equation.
36 + -36 + 13p = 70 + -36

Combine like terms: 36 + -36 = 0
0 + 13p = 70 + -36
13p = 70 + -36

Combine like terms: 70 + -36 = 34
13p = 34

Divide each side by '13'.
p = 2.615384615

Simplifying
p = 2.615384615

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