4(5r-7)+9(r+2)=

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Solution for 4(5r-7)+9(r+2)= equation:


Simplifying
4(5r + -7) + 9(r + 2) = 0

Reorder the terms:
4(-7 + 5r) + 9(r + 2) = 0
(-7 * 4 + 5r * 4) + 9(r + 2) = 0
(-28 + 20r) + 9(r + 2) = 0

Reorder the terms:
-28 + 20r + 9(2 + r) = 0
-28 + 20r + (2 * 9 + r * 9) = 0
-28 + 20r + (18 + 9r) = 0

Reorder the terms:
-28 + 18 + 20r + 9r = 0

Combine like terms: -28 + 18 = -10
-10 + 20r + 9r = 0

Combine like terms: 20r + 9r = 29r
-10 + 29r = 0

Solving
-10 + 29r = 0

Solving for variable 'r'.

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

Add '10' to each side of the equation.
-10 + 10 + 29r = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 29r = 0 + 10
29r = 0 + 10

Combine like terms: 0 + 10 = 10
29r = 10

Divide each side by '29'.
r = 0.3448275862

Simplifying
r = 0.3448275862

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