-6p+3+5p+1=5(3-7p)-7(1-5p)

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Solution for -6p+3+5p+1=5(3-7p)-7(1-5p) equation:


Simplifying
-6p + 3 + 5p + 1 = 5(3 + -7p) + -7(1 + -5p)

Reorder the terms:
3 + 1 + -6p + 5p = 5(3 + -7p) + -7(1 + -5p)

Combine like terms: 3 + 1 = 4
4 + -6p + 5p = 5(3 + -7p) + -7(1 + -5p)

Combine like terms: -6p + 5p = -1p
4 + -1p = 5(3 + -7p) + -7(1 + -5p)
4 + -1p = (3 * 5 + -7p * 5) + -7(1 + -5p)
4 + -1p = (15 + -35p) + -7(1 + -5p)
4 + -1p = 15 + -35p + (1 * -7 + -5p * -7)
4 + -1p = 15 + -35p + (-7 + 35p)

Reorder the terms:
4 + -1p = 15 + -7 + -35p + 35p

Combine like terms: 15 + -7 = 8
4 + -1p = 8 + -35p + 35p

Combine like terms: -35p + 35p = 0
4 + -1p = 8 + 0
4 + -1p = 8

Solving
4 + -1p = 8

Solving for variable 'p'.

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

Add '-4' to each side of the equation.
4 + -4 + -1p = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = 8 + -4
-1p = 8 + -4

Combine like terms: 8 + -4 = 4
-1p = 4

Divide each side by '-1'.
p = -4

Simplifying
p = -4

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