6(5-2r)+7(4-8r)=10

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Solution for 6(5-2r)+7(4-8r)=10 equation: 


Simplifying
6(5 + -2r) + 7(4 + -8r) = 10
(5 * 6 + -2r * 6) + 7(4 + -8r) = 10
(30 + -12r) + 7(4 + -8r) = 10
30 + -12r + (4 * 7 + -8r * 7) = 10
30 + -12r + (28 + -56r) = 10

Reorder the terms:
30 + 28 + -12r + -56r = 10

Combine like terms: 30 + 28 = 58
58 + -12r + -56r = 10

Combine like terms: -12r + -56r = -68r
58 + -68r = 10

Solving
58 + -68r = 10

Solving for variable 'r'.

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

Add '-58' to each side of the equation.
58 + -58 + -68r = 10 + -58

Combine like terms: 58 + -58 = 0
0 + -68r = 10 + -58
-68r = 10 + -58

Combine like terms: 10 + -58 = -48
-68r = -48

Divide each side by '-68'.
r = 0.7058823529

Simplifying
r = 0.7058823529

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