.7(2p+3)-8=14p-13

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Solution for .7(2p+3)-8=14p-13 equation: 


Simplifying
0.7(2p + 3) + -8 = 14p + -13

Reorder the terms:
0.7(3 + 2p) + -8 = 14p + -13
(3 * 0.7 + 2p * 0.7) + -8 = 14p + -13
(2.1 + 1.4p) + -8 = 14p + -13

Reorder the terms:
2.1 + -8 + 1.4p = 14p + -13

Combine like terms: 2.1 + -8 = -5.9
-5.9 + 1.4p = 14p + -13

Reorder the terms:
-5.9 + 1.4p = -13 + 14p

Solving
-5.9 + 1.4p = -13 + 14p

Solving for variable 'p'.

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

Add '-14p' to each side of the equation.
-5.9 + 1.4p + -14p = -13 + 14p + -14p

Combine like terms: 1.4p + -14p = -12.6p
-5.9 + -12.6p = -13 + 14p + -14p

Combine like terms: 14p + -14p = 0
-5.9 + -12.6p = -13 + 0
-5.9 + -12.6p = -13

Add '5.9' to each side of the equation.
-5.9 + 5.9 + -12.6p = -13 + 5.9

Combine like terms: -5.9 + 5.9 = 0.0
0.0 + -12.6p = -13 + 5.9
-12.6p = -13 + 5.9

Combine like terms: -13 + 5.9 = -7.1
-12.6p = -7.1

Divide each side by '-12.6'.
p = 0.5634920635

Simplifying
p = 0.5634920635

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