4(6p+3)=-2(7p+51)

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Solution for 4(6p+3)=-2(7p+51) equation:


Simplifying
4(6p + 3) = -2(7p + 51)

Reorder the terms:
4(3 + 6p) = -2(7p + 51)
(3 * 4 + 6p * 4) = -2(7p + 51)
(12 + 24p) = -2(7p + 51)

Reorder the terms:
12 + 24p = -2(51 + 7p)
12 + 24p = (51 * -2 + 7p * -2)
12 + 24p = (-102 + -14p)

Solving
12 + 24p = -102 + -14p

Solving for variable 'p'.

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

Add '14p' to each side of the equation.
12 + 24p + 14p = -102 + -14p + 14p

Combine like terms: 24p + 14p = 38p
12 + 38p = -102 + -14p + 14p

Combine like terms: -14p + 14p = 0
12 + 38p = -102 + 0
12 + 38p = -102

Add '-12' to each side of the equation.
12 + -12 + 38p = -102 + -12

Combine like terms: 12 + -12 = 0
0 + 38p = -102 + -12
38p = -102 + -12

Combine like terms: -102 + -12 = -114
38p = -114

Divide each side by '38'.
p = -3

Simplifying
p = -3

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