7*4p-5*3r+3*3q-5*5r+4*5q-10q=

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Solution for 7*4p-5*3r+3*3q-5*5r+4*5q-10q= equation:


Simplifying
7 * 4p + -5 * 3r + 3 * 3q + -5 * 5r + 4 * 5q + -10q = 0

Multiply 7 * 4
28p + -5 * 3r + 3 * 3q + -5 * 5r + 4 * 5q + -10q = 0

Multiply -5 * 3
28p + -15r + 3 * 3q + -5 * 5r + 4 * 5q + -10q = 0

Multiply 3 * 3
28p + -15r + 9q + -5 * 5r + 4 * 5q + -10q = 0

Multiply -5 * 5
28p + -15r + 9q + -25r + 4 * 5q + -10q = 0

Multiply 4 * 5
28p + -15r + 9q + -25r + 20q + -10q = 0

Reorder the terms:
28p + 9q + 20q + -10q + -15r + -25r = 0

Combine like terms: 9q + 20q = 29q
28p + 29q + -10q + -15r + -25r = 0

Combine like terms: 29q + -10q = 19q
28p + 19q + -15r + -25r = 0

Combine like terms: -15r + -25r = -40r
28p + 19q + -40r = 0

Solving
28p + 19q + -40r = 0

Solving for variable 'p'.

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

Add '-19q' to each side of the equation.
28p + 19q + -19q + -40r = 0 + -19q

Combine like terms: 19q + -19q = 0
28p + 0 + -40r = 0 + -19q
28p + -40r = 0 + -19q
Remove the zero:
28p + -40r = -19q

Add '40r' to each side of the equation.
28p + -40r + 40r = -19q + 40r

Combine like terms: -40r + 40r = 0
28p + 0 = -19q + 40r
28p = -19q + 40r

Divide each side by '28'.
p = -0.6785714286q + 1.428571429r

Simplifying
p = -0.6785714286q + 1.428571429r

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