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

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


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

Reorder the terms:
-2 + 7(4 + p) = 5(6p + -4)
-2 + (4 * 7 + p * 7) = 5(6p + -4)
-2 + (28 + 7p) = 5(6p + -4)

Combine like terms: -2 + 28 = 26
26 + 7p = 5(6p + -4)

Reorder the terms:
26 + 7p = 5(-4 + 6p)
26 + 7p = (-4 * 5 + 6p * 5)
26 + 7p = (-20 + 30p)

Solving
26 + 7p = -20 + 30p

Solving for variable 'p'.

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

Add '-30p' to each side of the equation.
26 + 7p + -30p = -20 + 30p + -30p

Combine like terms: 7p + -30p = -23p
26 + -23p = -20 + 30p + -30p

Combine like terms: 30p + -30p = 0
26 + -23p = -20 + 0
26 + -23p = -20

Add '-26' to each side of the equation.
26 + -26 + -23p = -20 + -26

Combine like terms: 26 + -26 = 0
0 + -23p = -20 + -26
-23p = -20 + -26

Combine like terms: -20 + -26 = -46
-23p = -46

Divide each side by '-23'.
p = 2

Simplifying
p = 2

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