-5(2r-0.3)+0.05(4r+3)=-64

Solution for -5(2r-0.3)+0.05(4r+3)=-64 equation:

Simplifying
-5(2r + -0.3) + 0.05(4r + 3) = -64

Reorder the terms:
-5(-0.3 + 2r) + 0.05(4r + 3) = -64
(-0.3 * -5 + 2r * -5) + 0.05(4r + 3) = -64
(1.5 + -10r) + 0.05(4r + 3) = -64

Reorder the terms:
1.5 + -10r + 0.05(3 + 4r) = -64
1.5 + -10r + (3 * 0.05 + 4r * 0.05) = -64
1.5 + -10r + (0.15 + 0.2r) = -64

Reorder the terms:
1.5 + 0.15 + -10r + 0.2r = -64

Combine like terms: 1.5 + 0.15 = 1.65
1.65 + -10r + 0.2r = -64

Combine like terms: -10r + 0.2r = -9.8r
1.65 + -9.8r = -64

Solving
1.65 + -9.8r = -64

Solving for variable 'r'.

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

Add '-1.65' to each side of the equation.
1.65 + -1.65 + -9.8r = -64 + -1.65

Combine like terms: 1.65 + -1.65 = 0.00
0.00 + -9.8r = -64 + -1.65
-9.8r = -64 + -1.65

Combine like terms: -64 + -1.65 = -65.65
-9.8r = -65.65

Divide each side by '-9.8'.
r = 6.698979592

Simplifying
r = 6.698979592