7-2.5(8r-6)+2r=32

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Solution for 7-2.5(8r-6)+2r=32 equation:


Simplifying
7 + -2.5(8r + -6) + 2r = 32

Reorder the terms:
7 + -2.5(-6 + 8r) + 2r = 32
7 + (-6 * -2.5 + 8r * -2.5) + 2r = 32
7 + (15 + -20r) + 2r = 32

Combine like terms: 7 + 15 = 22
22 + -20r + 2r = 32

Combine like terms: -20r + 2r = -18r
22 + -18r = 32

Solving
22 + -18r = 32

Solving for variable 'r'.

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

Add '-22' to each side of the equation.
22 + -22 + -18r = 32 + -22

Combine like terms: 22 + -22 = 0
0 + -18r = 32 + -22
-18r = 32 + -22

Combine like terms: 32 + -22 = 10
-18r = 10

Divide each side by '-18'.
r = -0.5555555556

Simplifying
r = -0.5555555556

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