6p-9(p-6)+7(q-6)=

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Solution for 6p-9(p-6)+7(q-6)= equation:


Simplifying
6p + -9(p + -6) + 7(q + -6) = 0

Reorder the terms:
6p + -9(-6 + p) + 7(q + -6) = 0
6p + (-6 * -9 + p * -9) + 7(q + -6) = 0
6p + (54 + -9p) + 7(q + -6) = 0

Reorder the terms:
6p + 54 + -9p + 7(-6 + q) = 0
6p + 54 + -9p + (-6 * 7 + q * 7) = 0
6p + 54 + -9p + (-42 + 7q) = 0

Reorder the terms:
54 + -42 + 6p + -9p + 7q = 0

Combine like terms: 54 + -42 = 12
12 + 6p + -9p + 7q = 0

Combine like terms: 6p + -9p = -3p
12 + -3p + 7q = 0

Solving
12 + -3p + 7q = 0

Solving for variable 'p'.

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

Add '-12' to each side of the equation.
12 + -3p + -12 + 7q = 0 + -12

Reorder the terms:
12 + -12 + -3p + 7q = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -3p + 7q = 0 + -12
-3p + 7q = 0 + -12

Combine like terms: 0 + -12 = -12
-3p + 7q = -12

Add '-7q' to each side of the equation.
-3p + 7q + -7q = -12 + -7q

Combine like terms: 7q + -7q = 0
-3p + 0 = -12 + -7q
-3p = -12 + -7q

Divide each side by '-3'.
p = 4 + 2.333333333q

Simplifying
p = 4 + 2.333333333q

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