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

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

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

Reorder the terms:
4 + -0.7(-3 + p) = 0.2(4p + -3)
4 + (-3 * -0.7 + p * -0.7) = 0.2(4p + -3)
4 + (2.1 + -0.7p) = 0.2(4p + -3)

Combine like terms: 4 + 2.1 = 6.1
6.1 + -0.7p = 0.2(4p + -3)

Reorder the terms:
6.1 + -0.7p = 0.2(-3 + 4p)
6.1 + -0.7p = (-3 * 0.2 + 4p * 0.2)
6.1 + -0.7p = (-0.6 + 0.8p)

Solving
6.1 + -0.7p = -0.6 + 0.8p

Solving for variable 'p'.

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

Add '-0.8p' to each side of the equation.
6.1 + -0.7p + -0.8p = -0.6 + 0.8p + -0.8p

Combine like terms: -0.7p + -0.8p = -1.5p
6.1 + -1.5p = -0.6 + 0.8p + -0.8p

Combine like terms: 0.8p + -0.8p = 0.0
6.1 + -1.5p = -0.6 + 0.0
6.1 + -1.5p = -0.6

Add '-6.1' to each side of the equation.
6.1 + -6.1 + -1.5p = -0.6 + -6.1

Combine like terms: 6.1 + -6.1 = 0.0
0.0 + -1.5p = -0.6 + -6.1
-1.5p = -0.6 + -6.1

Combine like terms: -0.6 + -6.1 = -6.7
-1.5p = -6.7

Divide each side by '-1.5'.
p = 4.466666667

Simplifying
p = 4.466666667