7[3(p-5)+15]-[2(5p-2)+2]=

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Solution for 7[3(p-5)+15]-[2(5p-2)+2]= equation:


Simplifying
7[3(p + -5) + 15] + -1[2(5p + -2) + 2] = 0

Reorder the terms:
7[3(-5 + p) + 15] + -1[2(5p + -2) + 2] = 0
7[(-5 * 3 + p * 3) + 15] + -1[2(5p + -2) + 2] = 0
7[(-15 + 3p) + 15] + -1[2(5p + -2) + 2] = 0

Reorder the terms:
7[-15 + 15 + 3p] + -1[2(5p + -2) + 2] = 0

Combine like terms: -15 + 15 = 0
7[0 + 3p] + -1[2(5p + -2) + 2] = 0
7[3p] + -1[2(5p + -2) + 2] = 0

Remove brackets around [3p]
7 * 3p + -1[2(5p + -2) + 2] = 0

Multiply 7 * 3
21p + -1[2(5p + -2) + 2] = 0

Reorder the terms:
21p + -1[2(-2 + 5p) + 2] = 0
21p + -1[(-2 * 2 + 5p * 2) + 2] = 0
21p + -1[(-4 + 10p) + 2] = 0

Reorder the terms:
21p + -1[-4 + 2 + 10p] = 0

Combine like terms: -4 + 2 = -2
21p + -1[-2 + 10p] = 0
21p + [-2 * -1 + 10p * -1] = 0
21p + [2 + -10p] = 0

Reorder the terms:
2 + 21p + -10p = 0

Combine like terms: 21p + -10p = 11p
2 + 11p = 0

Solving
2 + 11p = 0

Solving for variable 'p'.

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

Add '-2' to each side of the equation.
2 + -2 + 11p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 11p = 0 + -2
11p = 0 + -2

Combine like terms: 0 + -2 = -2
11p = -2

Divide each side by '11'.
p = -0.1818181818

Simplifying
p = -0.1818181818

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