0.14(14-7p)-2=-2(0.5p+3)+6

Solution for 0.14(14-7p)-2=-2(0.5p+3)+6 equation:

Simplifying
0.14(14 + -7p) + -2 = -2(0.5p + 3) + 6
(14 * 0.14 + -7p * 0.14) + -2 = -2(0.5p + 3) + 6
(1.96 + -0.98p) + -2 = -2(0.5p + 3) + 6

Reorder the terms:
1.96 + -2 + -0.98p = -2(0.5p + 3) + 6

Combine like terms: 1.96 + -2 = -0.04
-0.04 + -0.98p = -2(0.5p + 3) + 6

Reorder the terms:
-0.04 + -0.98p = -2(3 + 0.5p) + 6
-0.04 + -0.98p = (3 * -2 + 0.5p * -2) + 6
-0.04 + -0.98p = (-6 + -1p) + 6

Reorder the terms:
-0.04 + -0.98p = -6 + 6 + -1p

Combine like terms: -6 + 6 = 0
-0.04 + -0.98p = 0 + -1p
-0.04 + -0.98p = -1p

Solving
-0.04 + -0.98p = -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.
-0.04 + -0.98p + p = -1p + p

Combine like terms: -0.98p + p = 0.02p
-0.04 + 0.02p = -1p + p

Combine like terms: -1p + p = 0
-0.04 + 0.02p = 0

Add '0.04' to each side of the equation.
-0.04 + 0.04 + 0.02p = 0 + 0.04

Combine like terms: -0.04 + 0.04 = 0.00
0.00 + 0.02p = 0 + 0.04
0.02p = 0 + 0.04

Combine like terms: 0 + 0.04 = 0.04
0.02p = 0.04

Divide each side by '0.02'.
p = 2

Simplifying
p = 2