-17=8(r-3)+7(1+6r)

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Solution for -17=8(r-3)+7(1+6r) equation:


Simplifying
-17 = 8(r + -3) + 7(1 + 6r)

Reorder the terms:
-17 = 8(-3 + r) + 7(1 + 6r)
-17 = (-3 * 8 + r * 8) + 7(1 + 6r)
-17 = (-24 + 8r) + 7(1 + 6r)
-17 = -24 + 8r + (1 * 7 + 6r * 7)
-17 = -24 + 8r + (7 + 42r)

Reorder the terms:
-17 = -24 + 7 + 8r + 42r

Combine like terms: -24 + 7 = -17
-17 = -17 + 8r + 42r

Combine like terms: 8r + 42r = 50r
-17 = -17 + 50r

Add '17' to each side of the equation.
-17 + 17 = -17 + 17 + 50r

Combine like terms: -17 + 17 = 0
0 = -17 + 17 + 50r

Combine like terms: -17 + 17 = 0
0 = 0 + 50r
0 = 50r

Solving
0 = 50r

Solving for variable 'r'.

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

Add '-50r' to each side of the equation.
0 + -50r = 50r + -50r
Remove the zero:
-50r = 50r + -50r

Combine like terms: 50r + -50r = 0
-50r = 0

Divide each side by '-50'.
r = 0

Simplifying
r = 0

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