35=3(7+3p)+5(-5p+6)

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Solution for 35=3(7+3p)+5(-5p+6) equation: 


Simplifying
35 = 3(7 + 3p) + 5(-5p + 6)
35 = (7 * 3 + 3p * 3) + 5(-5p + 6)
35 = (21 + 9p) + 5(-5p + 6)

Reorder the terms:
35 = 21 + 9p + 5(6 + -5p)
35 = 21 + 9p + (6 * 5 + -5p * 5)
35 = 21 + 9p + (30 + -25p)

Reorder the terms:
35 = 21 + 30 + 9p + -25p

Combine like terms: 21 + 30 = 51
35 = 51 + 9p + -25p

Combine like terms: 9p + -25p = -16p
35 = 51 + -16p

Solving
35 = 51 + -16p

Solving for variable 'p'.

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

Add '16p' to each side of the equation.
35 + 16p = 51 + -16p + 16p

Combine like terms: -16p + 16p = 0
35 + 16p = 51 + 0
35 + 16p = 51

Add '-35' to each side of the equation.
35 + -35 + 16p = 51 + -35

Combine like terms: 35 + -35 = 0
0 + 16p = 51 + -35
16p = 51 + -35

Combine like terms: 51 + -35 = 16
16p = 16

Divide each side by '16'.
p = 1

Simplifying
p = 1

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