7(8r+4)=-33+3r

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Solution for 7(8r+4)=-33+3r equation:


Simplifying
7(8r + 4) = -33 + 3r

Reorder the terms:
7(4 + 8r) = -33 + 3r
(4 * 7 + 8r * 7) = -33 + 3r
(28 + 56r) = -33 + 3r

Solving
28 + 56r = -33 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
28 + 56r + -3r = -33 + 3r + -3r

Combine like terms: 56r + -3r = 53r
28 + 53r = -33 + 3r + -3r

Combine like terms: 3r + -3r = 0
28 + 53r = -33 + 0
28 + 53r = -33

Add '-28' to each side of the equation.
28 + -28 + 53r = -33 + -28

Combine like terms: 28 + -28 = 0
0 + 53r = -33 + -28
53r = -33 + -28

Combine like terms: -33 + -28 = -61
53r = -61

Divide each side by '53'.
r = -1.150943396

Simplifying
r = -1.150943396

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