-3(-14+5r)-2r=-14(r+3)

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Solution for -3(-14+5r)-2r=-14(r+3) equation:


Simplifying
-3(-14 + 5r) + -2r = -14(r + 3)
(-14 * -3 + 5r * -3) + -2r = -14(r + 3)
(42 + -15r) + -2r = -14(r + 3)

Combine like terms: -15r + -2r = -17r
42 + -17r = -14(r + 3)

Reorder the terms:
42 + -17r = -14(3 + r)
42 + -17r = (3 * -14 + r * -14)
42 + -17r = (-42 + -14r)

Solving
42 + -17r = -42 + -14r

Solving for variable 'r'.

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

Add '14r' to each side of the equation.
42 + -17r + 14r = -42 + -14r + 14r

Combine like terms: -17r + 14r = -3r
42 + -3r = -42 + -14r + 14r

Combine like terms: -14r + 14r = 0
42 + -3r = -42 + 0
42 + -3r = -42

Add '-42' to each side of the equation.
42 + -42 + -3r = -42 + -42

Combine like terms: 42 + -42 = 0
0 + -3r = -42 + -42
-3r = -42 + -42

Combine like terms: -42 + -42 = -84
-3r = -84

Divide each side by '-3'.
r = 28

Simplifying
r = 28

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