18+15r+10p-3r-3p+24=42-12r-7p

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Solution for 18+15r+10p-3r-3p+24=42-12r-7p equation:


Simplifying
18 + 15r + 10p + -3r + -3p + 24 = 42 + -12r + -7p

Reorder the terms:
18 + 24 + 10p + -3p + 15r + -3r = 42 + -12r + -7p

Combine like terms: 18 + 24 = 42
42 + 10p + -3p + 15r + -3r = 42 + -12r + -7p

Combine like terms: 10p + -3p = 7p
42 + 7p + 15r + -3r = 42 + -12r + -7p

Combine like terms: 15r + -3r = 12r
42 + 7p + 12r = 42 + -12r + -7p

Reorder the terms:
42 + 7p + 12r = 42 + -7p + -12r

Add '-42' to each side of the equation.
42 + 7p + -42 + 12r = 42 + -7p + -42 + -12r

Reorder the terms:
42 + -42 + 7p + 12r = 42 + -7p + -42 + -12r

Combine like terms: 42 + -42 = 0
0 + 7p + 12r = 42 + -7p + -42 + -12r
7p + 12r = 42 + -7p + -42 + -12r

Reorder the terms:
7p + 12r = 42 + -42 + -7p + -12r

Combine like terms: 42 + -42 = 0
7p + 12r = 0 + -7p + -12r
7p + 12r = -7p + -12r

Solving
7p + 12r = -7p + -12r

Solving for variable 'p'.

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

Add '7p' to each side of the equation.
7p + 7p + 12r = -7p + 7p + -12r

Combine like terms: 7p + 7p = 14p
14p + 12r = -7p + 7p + -12r

Combine like terms: -7p + 7p = 0
14p + 12r = 0 + -12r
14p + 12r = -12r

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

Combine like terms: 12r + -12r = 0
14p + 0 = -12r + -12r
14p = -12r + -12r

Combine like terms: -12r + -12r = -24r
14p = -24r

Divide each side by '14'.
p = -1.714285714r

Simplifying
p = -1.714285714r

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