17.5=-7+3(r+6.5)

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Solution for 17.5=-7+3(r+6.5) equation:


Simplifying
17.5 = -7 + 3(r + 6.5)

Reorder the terms:
17.5 = -7 + 3(6.5 + r)
17.5 = -7 + (6.5 * 3 + r * 3)
17.5 = -7 + (19.5 + 3r)

Combine like terms: -7 + 19.5 = 12.5
17.5 = 12.5 + 3r

Solving
17.5 = 12.5 + 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.
17.5 + -3r = 12.5 + 3r + -3r

Combine like terms: 3r + -3r = 0
17.5 + -3r = 12.5 + 0
17.5 + -3r = 12.5

Add '-17.5' to each side of the equation.
17.5 + -17.5 + -3r = 12.5 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + -3r = 12.5 + -17.5
-3r = 12.5 + -17.5

Combine like terms: 12.5 + -17.5 = -5
-3r = -5

Divide each side by '-3'.
r = 1.666666667

Simplifying
r = 1.666666667

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