14(14-7p)-2=-2(.5p+3)+6

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Solution for 14(14-7p)-2=-2(.5p+3)+6 equation: 


Simplifying
14(14 + -7p) + -2 = -2(0.5p + 3) + 6
(14 * 14 + -7p * 14) + -2 = -2(0.5p + 3) + 6
(196 + -98p) + -2 = -2(0.5p + 3) + 6

Reorder the terms:
196 + -2 + -98p = -2(0.5p + 3) + 6

Combine like terms: 196 + -2 = 194
194 + -98p = -2(0.5p + 3) + 6

Reorder the terms:
194 + -98p = -2(3 + 0.5p) + 6
194 + -98p = (3 * -2 + 0.5p * -2) + 6
194 + -98p = (-6 + -1p) + 6

Reorder the terms:
194 + -98p = -6 + 6 + -1p

Combine like terms: -6 + 6 = 0
194 + -98p = 0 + -1p
194 + -98p = -1p

Solving
194 + -98p = -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
194 + -98p + p = -1p + p

Combine like terms: -98p + p = -97p
194 + -97p = -1p + p

Combine like terms: -1p + p = 0
194 + -97p = 0

Add '-194' to each side of the equation.
194 + -194 + -97p = 0 + -194

Combine like terms: 194 + -194 = 0
0 + -97p = 0 + -194
-97p = 0 + -194

Combine like terms: 0 + -194 = -194
-97p = -194

Divide each side by '-97'.
p = 2

Simplifying
p = 2

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