5(1+3r)-2=3(7r-3)

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Solution for 5(1+3r)-2=3(7r-3) equation:


Simplifying
5(1 + 3r) + -2 = 3(7r + -3)
(1 * 5 + 3r * 5) + -2 = 3(7r + -3)
(5 + 15r) + -2 = 3(7r + -3)

Reorder the terms:
5 + -2 + 15r = 3(7r + -3)

Combine like terms: 5 + -2 = 3
3 + 15r = 3(7r + -3)

Reorder the terms:
3 + 15r = 3(-3 + 7r)
3 + 15r = (-3 * 3 + 7r * 3)
3 + 15r = (-9 + 21r)

Solving
3 + 15r = -9 + 21r

Solving for variable 'r'.

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

Add '-21r' to each side of the equation.
3 + 15r + -21r = -9 + 21r + -21r

Combine like terms: 15r + -21r = -6r
3 + -6r = -9 + 21r + -21r

Combine like terms: 21r + -21r = 0
3 + -6r = -9 + 0
3 + -6r = -9

Add '-3' to each side of the equation.
3 + -3 + -6r = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -6r = -9 + -3
-6r = -9 + -3

Combine like terms: -9 + -3 = -12
-6r = -12

Divide each side by '-6'.
r = 2

Simplifying
r = 2

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