70=3(5r+6)-8

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Solution for 70=3(5r+6)-8 equation:


Simplifying
70 = 3(5r + 6) + -8

Reorder the terms:
70 = 3(6 + 5r) + -8
70 = (6 * 3 + 5r * 3) + -8
70 = (18 + 15r) + -8

Reorder the terms:
70 = 18 + -8 + 15r

Combine like terms: 18 + -8 = 10
70 = 10 + 15r

Solving
70 = 10 + 15r

Solving for variable 'r'.

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

Add '-15r' to each side of the equation.
70 + -15r = 10 + 15r + -15r

Combine like terms: 15r + -15r = 0
70 + -15r = 10 + 0
70 + -15r = 10

Add '-70' to each side of the equation.
70 + -70 + -15r = 10 + -70

Combine like terms: 70 + -70 = 0
0 + -15r = 10 + -70
-15r = 10 + -70

Combine like terms: 10 + -70 = -60
-15r = -60

Divide each side by '-15'.
r = 4

Simplifying
r = 4

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