0.2(p+6)-0.7(p+4)=-3

Solution for 0.2(p+6)-0.7(p+4)=-3 equation:

Simplifying
0.2(p + 6) + -0.7(p + 4) = -3

Reorder the terms:
0.2(6 + p) + -0.7(p + 4) = -3
(6 * 0.2 + p * 0.2) + -0.7(p + 4) = -3
(1.2 + 0.2p) + -0.7(p + 4) = -3

Reorder the terms:
1.2 + 0.2p + -0.7(4 + p) = -3
1.2 + 0.2p + (4 * -0.7 + p * -0.7) = -3
1.2 + 0.2p + (-2.8 + -0.7p) = -3

Reorder the terms:
1.2 + -2.8 + 0.2p + -0.7p = -3

Combine like terms: 1.2 + -2.8 = -1.6
-1.6 + 0.2p + -0.7p = -3

Combine like terms: 0.2p + -0.7p = -0.5p
-1.6 + -0.5p = -3

Solving
-1.6 + -0.5p = -3

Solving for variable 'p'.

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

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.5p = -3 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.5p = -3 + 1.6
-0.5p = -3 + 1.6

Combine like terms: -3 + 1.6 = -1.4
-0.5p = -1.4

Divide each side by '-0.5'.
p = 2.8

Simplifying
p = 2.8