3p+7=6-(10p+5)

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Solution for 3p+7=6-(10p+5) equation:


Simplifying
3p + 7 = 6 + -1(10p + 5)

Reorder the terms:
7 + 3p = 6 + -1(10p + 5)

Reorder the terms:
7 + 3p = 6 + -1(5 + 10p)
7 + 3p = 6 + (5 * -1 + 10p * -1)
7 + 3p = 6 + (-5 + -10p)

Combine like terms: 6 + -5 = 1
7 + 3p = 1 + -10p

Solving
7 + 3p = 1 + -10p

Solving for variable 'p'.

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

Add '10p' to each side of the equation.
7 + 3p + 10p = 1 + -10p + 10p

Combine like terms: 3p + 10p = 13p
7 + 13p = 1 + -10p + 10p

Combine like terms: -10p + 10p = 0
7 + 13p = 1 + 0
7 + 13p = 1

Add '-7' to each side of the equation.
7 + -7 + 13p = 1 + -7

Combine like terms: 7 + -7 = 0
0 + 13p = 1 + -7
13p = 1 + -7

Combine like terms: 1 + -7 = -6
13p = -6

Divide each side by '13'.
p = -0.4615384615

Simplifying
p = -0.4615384615

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