p-8(8p-6)=-6(8+3p)+6

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Solution for p-8(8p-6)=-6(8+3p)+6 equation:


Simplifying
p + -8(8p + -6) = -6(8 + 3p) + 6

Reorder the terms:
p + -8(-6 + 8p) = -6(8 + 3p) + 6
p + (-6 * -8 + 8p * -8) = -6(8 + 3p) + 6
p + (48 + -64p) = -6(8 + 3p) + 6

Reorder the terms:
48 + p + -64p = -6(8 + 3p) + 6

Combine like terms: p + -64p = -63p
48 + -63p = -6(8 + 3p) + 6
48 + -63p = (8 * -6 + 3p * -6) + 6
48 + -63p = (-48 + -18p) + 6

Reorder the terms:
48 + -63p = -48 + 6 + -18p

Combine like terms: -48 + 6 = -42
48 + -63p = -42 + -18p

Solving
48 + -63p = -42 + -18p

Solving for variable 'p'.

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

Add '18p' to each side of the equation.
48 + -63p + 18p = -42 + -18p + 18p

Combine like terms: -63p + 18p = -45p
48 + -45p = -42 + -18p + 18p

Combine like terms: -18p + 18p = 0
48 + -45p = -42 + 0
48 + -45p = -42

Add '-48' to each side of the equation.
48 + -48 + -45p = -42 + -48

Combine like terms: 48 + -48 = 0
0 + -45p = -42 + -48
-45p = -42 + -48

Combine like terms: -42 + -48 = -90
-45p = -90

Divide each side by '-45'.
p = 2

Simplifying
p = 2

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