4.5(r-4)=(r-1.5)-3

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Solution for 4.5(r-4)=(r-1.5)-3 equation:


Simplifying
4.5(r + -4) = (r + -1.5) + -3

Reorder the terms:
4.5(-4 + r) = (r + -1.5) + -3
(-4 * 4.5 + r * 4.5) = (r + -1.5) + -3
(-18 + 4.5r) = (r + -1.5) + -3

Reorder the terms:
-18 + 4.5r = (-1.5 + r) + -3

Remove parenthesis around (-1.5 + r)
-18 + 4.5r = -1.5 + r + -3

Reorder the terms:
-18 + 4.5r = -1.5 + -3 + r

Combine like terms: -1.5 + -3 = -4.5
-18 + 4.5r = -4.5 + r

Solving
-18 + 4.5r = -4.5 + r

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.
-18 + 4.5r + -1r = -4.5 + r + -1r

Combine like terms: 4.5r + -1r = 3.5r
-18 + 3.5r = -4.5 + r + -1r

Combine like terms: r + -1r = 0
-18 + 3.5r = -4.5 + 0
-18 + 3.5r = -4.5

Add '18' to each side of the equation.
-18 + 18 + 3.5r = -4.5 + 18

Combine like terms: -18 + 18 = 0
0 + 3.5r = -4.5 + 18
3.5r = -4.5 + 18

Combine like terms: -4.5 + 18 = 13.5
3.5r = 13.5

Divide each side by '3.5'.
r = 3.857142857

Simplifying
r = 3.857142857

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