14(4p+2)=-7(6p+14)

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Solution for 14(4p+2)=-7(6p+14) equation:


Simplifying
14(4p + 2) = -7(6p + 14)

Reorder the terms:
14(2 + 4p) = -7(6p + 14)
(2 * 14 + 4p * 14) = -7(6p + 14)
(28 + 56p) = -7(6p + 14)

Reorder the terms:
28 + 56p = -7(14 + 6p)
28 + 56p = (14 * -7 + 6p * -7)
28 + 56p = (-98 + -42p)

Solving
28 + 56p = -98 + -42p

Solving for variable 'p'.

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

Add '42p' to each side of the equation.
28 + 56p + 42p = -98 + -42p + 42p

Combine like terms: 56p + 42p = 98p
28 + 98p = -98 + -42p + 42p

Combine like terms: -42p + 42p = 0
28 + 98p = -98 + 0
28 + 98p = -98

Add '-28' to each side of the equation.
28 + -28 + 98p = -98 + -28

Combine like terms: 28 + -28 = 0
0 + 98p = -98 + -28
98p = -98 + -28

Combine like terms: -98 + -28 = -126
98p = -126

Divide each side by '98'.
p = -1.285714286

Simplifying
p = -1.285714286

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