5(1-r)+4(r-3)=-10.5

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Solution for 5(1-r)+4(r-3)=-10.5 equation: 


Simplifying
5(1 + -1r) + 4(r + -3) = -10.5
(1 * 5 + -1r * 5) + 4(r + -3) = -10.5
(5 + -5r) + 4(r + -3) = -10.5

Reorder the terms:
5 + -5r + 4(-3 + r) = -10.5
5 + -5r + (-3 * 4 + r * 4) = -10.5
5 + -5r + (-12 + 4r) = -10.5

Reorder the terms:
5 + -12 + -5r + 4r = -10.5

Combine like terms: 5 + -12 = -7
-7 + -5r + 4r = -10.5

Combine like terms: -5r + 4r = -1r
-7 + -1r = -10.5

Solving
-7 + -1r = -10.5

Solving for variable 'r'.

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

Add '7' to each side of the equation.
-7 + 7 + -1r = -10.5 + 7

Combine like terms: -7 + 7 = 0
0 + -1r = -10.5 + 7
-1r = -10.5 + 7

Combine like terms: -10.5 + 7 = -3.5
-1r = -3.5

Divide each side by '-1'.
r = 3.5

Simplifying
r = 3.5

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