-5.3(3p+5)-1.4(4p-6)=

Solution for -5.3(3p+5)-1.4(4p-6)= equation:

Simplifying
-5.3(3p + 5) + -1.4(4p + -6) = 0

Reorder the terms:
-5.3(5 + 3p) + -1.4(4p + -6) = 0
(5 * -5.3 + 3p * -5.3) + -1.4(4p + -6) = 0
(-26.5 + -15.9p) + -1.4(4p + -6) = 0

Reorder the terms:
-26.5 + -15.9p + -1.4(-6 + 4p) = 0
-26.5 + -15.9p + (-6 * -1.4 + 4p * -1.4) = 0
-26.5 + -15.9p + (8.4 + -5.6p) = 0

Reorder the terms:
-26.5 + 8.4 + -15.9p + -5.6p = 0

Combine like terms: -26.5 + 8.4 = -18.1
-18.1 + -15.9p + -5.6p = 0

Combine like terms: -15.9p + -5.6p = -21.5p
-18.1 + -21.5p = 0

Solving
-18.1 + -21.5p = 0

Solving for variable 'p'.

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

Add '18.1' to each side of the equation.
-18.1 + 18.1 + -21.5p = 0 + 18.1

Combine like terms: -18.1 + 18.1 = 0.0
0.0 + -21.5p = 0 + 18.1
-21.5p = 0 + 18.1

Combine like terms: 0 + 18.1 = 18.1
-21.5p = 18.1

Divide each side by '-21.5'.
p = -0.8418604651

Simplifying
p = -0.8418604651