6(p+5)-(p-4)=104

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Solution for 6(p+5)-(p-4)=104 equation:


Simplifying
6(p + 5) + -1(p + -4) = 104

Reorder the terms:
6(5 + p) + -1(p + -4) = 104
(5 * 6 + p * 6) + -1(p + -4) = 104
(30 + 6p) + -1(p + -4) = 104

Reorder the terms:
30 + 6p + -1(-4 + p) = 104
30 + 6p + (-4 * -1 + p * -1) = 104
30 + 6p + (4 + -1p) = 104

Reorder the terms:
30 + 4 + 6p + -1p = 104

Combine like terms: 30 + 4 = 34
34 + 6p + -1p = 104

Combine like terms: 6p + -1p = 5p
34 + 5p = 104

Solving
34 + 5p = 104

Solving for variable 'p'.

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

Add '-34' to each side of the equation.
34 + -34 + 5p = 104 + -34

Combine like terms: 34 + -34 = 0
0 + 5p = 104 + -34
5p = 104 + -34

Combine like terms: 104 + -34 = 70
5p = 70

Divide each side by '5'.
p = 14

Simplifying
p = 14

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