-10p+4=3(10p-3)+9(3+4p)

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Solution for -10p+4=3(10p-3)+9(3+4p) equation:


Simplifying
-10p + 4 = 3(10p + -3) + 9(3 + 4p)

Reorder the terms:
4 + -10p = 3(10p + -3) + 9(3 + 4p)

Reorder the terms:
4 + -10p = 3(-3 + 10p) + 9(3 + 4p)
4 + -10p = (-3 * 3 + 10p * 3) + 9(3 + 4p)
4 + -10p = (-9 + 30p) + 9(3 + 4p)
4 + -10p = -9 + 30p + (3 * 9 + 4p * 9)
4 + -10p = -9 + 30p + (27 + 36p)

Reorder the terms:
4 + -10p = -9 + 27 + 30p + 36p

Combine like terms: -9 + 27 = 18
4 + -10p = 18 + 30p + 36p

Combine like terms: 30p + 36p = 66p
4 + -10p = 18 + 66p

Solving
4 + -10p = 18 + 66p

Solving for variable 'p'.

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

Add '-66p' to each side of the equation.
4 + -10p + -66p = 18 + 66p + -66p

Combine like terms: -10p + -66p = -76p
4 + -76p = 18 + 66p + -66p

Combine like terms: 66p + -66p = 0
4 + -76p = 18 + 0
4 + -76p = 18

Add '-4' to each side of the equation.
4 + -4 + -76p = 18 + -4

Combine like terms: 4 + -4 = 0
0 + -76p = 18 + -4
-76p = 18 + -4

Combine like terms: 18 + -4 = 14
-76p = 14

Divide each side by '-76'.
p = -0.1842105263

Simplifying
p = -0.1842105263

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