-10+3(p+20)=6-7(3p+10)

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Solution for -10+3(p+20)=6-7(3p+10) equation:


Simplifying
-10 + 3(p + 20) = 6 + -7(3p + 10)

Reorder the terms:
-10 + 3(20 + p) = 6 + -7(3p + 10)
-10 + (20 * 3 + p * 3) = 6 + -7(3p + 10)
-10 + (60 + 3p) = 6 + -7(3p + 10)

Combine like terms: -10 + 60 = 50
50 + 3p = 6 + -7(3p + 10)

Reorder the terms:
50 + 3p = 6 + -7(10 + 3p)
50 + 3p = 6 + (10 * -7 + 3p * -7)
50 + 3p = 6 + (-70 + -21p)

Combine like terms: 6 + -70 = -64
50 + 3p = -64 + -21p

Solving
50 + 3p = -64 + -21p

Solving for variable 'p'.

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

Add '21p' to each side of the equation.
50 + 3p + 21p = -64 + -21p + 21p

Combine like terms: 3p + 21p = 24p
50 + 24p = -64 + -21p + 21p

Combine like terms: -21p + 21p = 0
50 + 24p = -64 + 0
50 + 24p = -64

Add '-50' to each side of the equation.
50 + -50 + 24p = -64 + -50

Combine like terms: 50 + -50 = 0
0 + 24p = -64 + -50
24p = -64 + -50

Combine like terms: -64 + -50 = -114
24p = -114

Divide each side by '24'.
p = -4.75

Simplifying
p = -4.75

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