7(2p+1)+3(p-2)=69

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Solution for 7(2p+1)+3(p-2)=69 equation:


Simplifying
7(2p + 1) + 3(p + -2) = 69

Reorder the terms:
7(1 + 2p) + 3(p + -2) = 69
(1 * 7 + 2p * 7) + 3(p + -2) = 69
(7 + 14p) + 3(p + -2) = 69

Reorder the terms:
7 + 14p + 3(-2 + p) = 69
7 + 14p + (-2 * 3 + p * 3) = 69
7 + 14p + (-6 + 3p) = 69

Reorder the terms:
7 + -6 + 14p + 3p = 69

Combine like terms: 7 + -6 = 1
1 + 14p + 3p = 69

Combine like terms: 14p + 3p = 17p
1 + 17p = 69

Solving
1 + 17p = 69

Solving for variable 'p'.

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

Add '-1' to each side of the equation.
1 + -1 + 17p = 69 + -1

Combine like terms: 1 + -1 = 0
0 + 17p = 69 + -1
17p = 69 + -1

Combine like terms: 69 + -1 = 68
17p = 68

Divide each side by '17'.
p = 4

Simplifying
p = 4

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