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

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


Simplifying
4 + -2p + 7 = 5 + -1(6p + 3)

Reorder the terms:
4 + 7 + -2p = 5 + -1(6p + 3)

Combine like terms: 4 + 7 = 11
11 + -2p = 5 + -1(6p + 3)

Reorder the terms:
11 + -2p = 5 + -1(3 + 6p)
11 + -2p = 5 + (3 * -1 + 6p * -1)
11 + -2p = 5 + (-3 + -6p)

Combine like terms: 5 + -3 = 2
11 + -2p = 2 + -6p

Solving
11 + -2p = 2 + -6p

Solving for variable 'p'.

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

Add '6p' to each side of the equation.
11 + -2p + 6p = 2 + -6p + 6p

Combine like terms: -2p + 6p = 4p
11 + 4p = 2 + -6p + 6p

Combine like terms: -6p + 6p = 0
11 + 4p = 2 + 0
11 + 4p = 2

Add '-11' to each side of the equation.
11 + -11 + 4p = 2 + -11

Combine like terms: 11 + -11 = 0
0 + 4p = 2 + -11
4p = 2 + -11

Combine like terms: 2 + -11 = -9
4p = -9

Divide each side by '4'.
p = -2.25

Simplifying
p = -2.25

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