4(-10r+3)=-(7-r)

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Solution for 4(-10r+3)=-(7-r) equation:


Simplifying
4(-10r + 3) = -1(7 + -1r)

Reorder the terms:
4(3 + -10r) = -1(7 + -1r)
(3 * 4 + -10r * 4) = -1(7 + -1r)
(12 + -40r) = -1(7 + -1r)
12 + -40r = (7 * -1 + -1r * -1)
12 + -40r = (-7 + 1r)

Solving
12 + -40r = -7 + 1r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
12 + -40r + -1r = -7 + 1r + -1r

Combine like terms: -40r + -1r = -41r
12 + -41r = -7 + 1r + -1r

Combine like terms: 1r + -1r = 0
12 + -41r = -7 + 0
12 + -41r = -7

Add '-12' to each side of the equation.
12 + -12 + -41r = -7 + -12

Combine like terms: 12 + -12 = 0
0 + -41r = -7 + -12
-41r = -7 + -12

Combine like terms: -7 + -12 = -19
-41r = -19

Divide each side by '-41'.
r = 0.4634146341

Simplifying
r = 0.4634146341

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