6(r-4)+r+30-7r=p

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Solution for 6(r-4)+r+30-7r=p equation:


Simplifying
6(r + -4) + r + 30 + -7r = p

Reorder the terms:
6(-4 + r) + r + 30 + -7r = p
(-4 * 6 + r * 6) + r + 30 + -7r = p
(-24 + 6r) + r + 30 + -7r = p

Reorder the terms:
-24 + 30 + 6r + r + -7r = p

Combine like terms: -24 + 30 = 6
6 + 6r + r + -7r = p

Combine like terms: 6r + r = 7r
6 + 7r + -7r = p

Combine like terms: 7r + -7r = 0
6 + 0 = p
6 = p

Solving
6 = p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
6 + -1p = p + -1p

Combine like terms: p + -1p = 0
6 + -1p = 0

Add '-6' to each side of the equation.
6 + -6 + -1p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 0 + -6
-1p = 0 + -6

Combine like terms: 0 + -6 = -6
-1p = -6

Divide each side by '-1'.
p = 6

Simplifying
p = 6

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