40=-6(5r-7)

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Solution for 40=-6(5r-7) equation:


Simplifying
40 = -6(5r + -7)

Reorder the terms:
40 = -6(-7 + 5r)
40 = (-7 * -6 + 5r * -6)
40 = (42 + -30r)

Solving
40 = 42 + -30r

Solving for variable 'r'.

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

Add '30r' to each side of the equation.
40 + 30r = 42 + -30r + 30r

Combine like terms: -30r + 30r = 0
40 + 30r = 42 + 0
40 + 30r = 42

Add '-40' to each side of the equation.
40 + -40 + 30r = 42 + -40

Combine like terms: 40 + -40 = 0
0 + 30r = 42 + -40
30r = 42 + -40

Combine like terms: 42 + -40 = 2
30r = 2

Divide each side by '30'.
r = 0.06666666667

Simplifying
r = 0.06666666667

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