7-4(1+5.5r)=-30.5

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Solution for 7-4(1+5.5r)=-30.5 equation:


Simplifying
7 + -4(1 + 5.5r) = -30.5
7 + (1 * -4 + 5.5r * -4) = -30.5
7 + (-4 + -22r) = -30.5

Combine like terms: 7 + -4 = 3
3 + -22r = -30.5

Solving
3 + -22r = -30.5

Solving for variable 'r'.

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

Add '-3' to each side of the equation.
3 + -3 + -22r = -30.5 + -3

Combine like terms: 3 + -3 = 0
0 + -22r = -30.5 + -3
-22r = -30.5 + -3

Combine like terms: -30.5 + -3 = -33.5
-22r = -33.5

Divide each side by '-22'.
r = 1.522727273

Simplifying
r = 1.522727273

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