0.3(14-7p)-2=-2(0.5p+3)+6

Solution for 0.3(14-7p)-2=-2(0.5p+3)+6 equation:

Simplifying
0.3(14 + -7p) + -2 = -2(0.5p + 3) + 6
(14 * 0.3 + -7p * 0.3) + -2 = -2(0.5p + 3) + 6
(4.2 + -2.1p) + -2 = -2(0.5p + 3) + 6

Reorder the terms:
4.2 + -2 + -2.1p = -2(0.5p + 3) + 6

Combine like terms: 4.2 + -2 = 2.2
2.2 + -2.1p = -2(0.5p + 3) + 6

Reorder the terms:
2.2 + -2.1p = -2(3 + 0.5p) + 6
2.2 + -2.1p = (3 * -2 + 0.5p * -2) + 6
2.2 + -2.1p = (-6 + -1p) + 6

Reorder the terms:
2.2 + -2.1p = -6 + 6 + -1p

Combine like terms: -6 + 6 = 0
2.2 + -2.1p = 0 + -1p
2.2 + -2.1p = -1p

Solving
2.2 + -2.1p = -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.
2.2 + -2.1p + p = -1p + p

Combine like terms: -2.1p + p = -1.1p
2.2 + -1.1p = -1p + p

Combine like terms: -1p + p = 0
2.2 + -1.1p = 0

Add '-2.2' to each side of the equation.
2.2 + -2.2 + -1.1p = 0 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + -1.1p = 0 + -2.2
-1.1p = 0 + -2.2

Combine like terms: 0 + -2.2 = -2.2
-1.1p = -2.2

Divide each side by '-1.1'.
p = 2

Simplifying
p = 2