7(2p+3)-7=6p+29

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Solution for 7(2p+3)-7=6p+29 equation:


Simplifying
7(2p + 3) + -7 = 6p + 29

Reorder the terms:
7(3 + 2p) + -7 = 6p + 29
(3 * 7 + 2p * 7) + -7 = 6p + 29
(21 + 14p) + -7 = 6p + 29

Reorder the terms:
21 + -7 + 14p = 6p + 29

Combine like terms: 21 + -7 = 14
14 + 14p = 6p + 29

Reorder the terms:
14 + 14p = 29 + 6p

Solving
14 + 14p = 29 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
14 + 14p + -6p = 29 + 6p + -6p

Combine like terms: 14p + -6p = 8p
14 + 8p = 29 + 6p + -6p

Combine like terms: 6p + -6p = 0
14 + 8p = 29 + 0
14 + 8p = 29

Add '-14' to each side of the equation.
14 + -14 + 8p = 29 + -14

Combine like terms: 14 + -14 = 0
0 + 8p = 29 + -14
8p = 29 + -14

Combine like terms: 29 + -14 = 15
8p = 15

Divide each side by '8'.
p = 1.875

Simplifying
p = 1.875

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