34=7(1-5r)+4(5r+3)

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Solution for 34=7(1-5r)+4(5r+3) equation: 


Simplifying
34 = 7(1 + -5r) + 4(5r + 3)
34 = (1 * 7 + -5r * 7) + 4(5r + 3)
34 = (7 + -35r) + 4(5r + 3)

Reorder the terms:
34 = 7 + -35r + 4(3 + 5r)
34 = 7 + -35r + (3 * 4 + 5r * 4)
34 = 7 + -35r + (12 + 20r)

Reorder the terms:
34 = 7 + 12 + -35r + 20r

Combine like terms: 7 + 12 = 19
34 = 19 + -35r + 20r

Combine like terms: -35r + 20r = -15r
34 = 19 + -15r

Solving
34 = 19 + -15r

Solving for variable 'r'.

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

Add '15r' to each side of the equation.
34 + 15r = 19 + -15r + 15r

Combine like terms: -15r + 15r = 0
34 + 15r = 19 + 0
34 + 15r = 19

Add '-34' to each side of the equation.
34 + -34 + 15r = 19 + -34

Combine like terms: 34 + -34 = 0
0 + 15r = 19 + -34
15r = 19 + -34

Combine like terms: 19 + -34 = -15
15r = -15

Divide each side by '15'.
r = -1

Simplifying
r = -1

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