14(3p+6)=-7(7p+16)

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Solution for 14(3p+6)=-7(7p+16) equation:


Simplifying
14(3p + 6) = -7(7p + 16)

Reorder the terms:
14(6 + 3p) = -7(7p + 16)
(6 * 14 + 3p * 14) = -7(7p + 16)
(84 + 42p) = -7(7p + 16)

Reorder the terms:
84 + 42p = -7(16 + 7p)
84 + 42p = (16 * -7 + 7p * -7)
84 + 42p = (-112 + -49p)

Solving
84 + 42p = -112 + -49p

Solving for variable 'p'.

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

Add '49p' to each side of the equation.
84 + 42p + 49p = -112 + -49p + 49p

Combine like terms: 42p + 49p = 91p
84 + 91p = -112 + -49p + 49p

Combine like terms: -49p + 49p = 0
84 + 91p = -112 + 0
84 + 91p = -112

Add '-84' to each side of the equation.
84 + -84 + 91p = -112 + -84

Combine like terms: 84 + -84 = 0
0 + 91p = -112 + -84
91p = -112 + -84

Combine like terms: -112 + -84 = -196
91p = -196

Divide each side by '91'.
p = -2.153846154

Simplifying
p = -2.153846154

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