15(2r+2)=8r-3

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Solution for 15(2r+2)=8r-3 equation:


Simplifying
15(2r + 2) = 8r + -3

Reorder the terms:
15(2 + 2r) = 8r + -3
(2 * 15 + 2r * 15) = 8r + -3
(30 + 30r) = 8r + -3

Reorder the terms:
30 + 30r = -3 + 8r

Solving
30 + 30r = -3 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
30 + 30r + -8r = -3 + 8r + -8r

Combine like terms: 30r + -8r = 22r
30 + 22r = -3 + 8r + -8r

Combine like terms: 8r + -8r = 0
30 + 22r = -3 + 0
30 + 22r = -3

Add '-30' to each side of the equation.
30 + -30 + 22r = -3 + -30

Combine like terms: 30 + -30 = 0
0 + 22r = -3 + -30
22r = -3 + -30

Combine like terms: -3 + -30 = -33
22r = -33

Divide each side by '22'.
r = -1.5

Simplifying
r = -1.5

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