6p-3(5p+2)=4(1-p)-10+5

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Solution for 6p-3(5p+2)=4(1-p)-10+5 equation:


Simplifying
6p + -3(5p + 2) = 4(1 + -1p) + -10 + 5

Reorder the terms:
6p + -3(2 + 5p) = 4(1 + -1p) + -10 + 5
6p + (2 * -3 + 5p * -3) = 4(1 + -1p) + -10 + 5
6p + (-6 + -15p) = 4(1 + -1p) + -10 + 5

Reorder the terms:
-6 + 6p + -15p = 4(1 + -1p) + -10 + 5

Combine like terms: 6p + -15p = -9p
-6 + -9p = 4(1 + -1p) + -10 + 5
-6 + -9p = (1 * 4 + -1p * 4) + -10 + 5
-6 + -9p = (4 + -4p) + -10 + 5

Reorder the terms:
-6 + -9p = 4 + -10 + 5 + -4p

Combine like terms: 4 + -10 = -6
-6 + -9p = -6 + 5 + -4p

Combine like terms: -6 + 5 = -1
-6 + -9p = -1 + -4p

Solving
-6 + -9p = -1 + -4p

Solving for variable 'p'.

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

Add '4p' to each side of the equation.
-6 + -9p + 4p = -1 + -4p + 4p

Combine like terms: -9p + 4p = -5p
-6 + -5p = -1 + -4p + 4p

Combine like terms: -4p + 4p = 0
-6 + -5p = -1 + 0
-6 + -5p = -1

Add '6' to each side of the equation.
-6 + 6 + -5p = -1 + 6

Combine like terms: -6 + 6 = 0
0 + -5p = -1 + 6
-5p = -1 + 6

Combine like terms: -1 + 6 = 5
-5p = 5

Divide each side by '-5'.
p = -1

Simplifying
p = -1

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