1.5[1-3r]=0.45[5.3-2r]

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Solution for 1.5[1-3r]=0.45[5.3-2r] equation: 


Simplifying
1.5[1 + -3r] = 0.45[5.3 + -2r]
[1 * 1.5 + -3r * 1.5] = 0.45[5.3 + -2r]
[1.5 + -4.5r] = 0.45[5.3 + -2r]
1.5 + -4.5r = [5.3 * 0.45 + -2r * 0.45]
1.5 + -4.5r = [2.385 + -0.9r]

Solving
1.5 + -4.5r = 2.385 + -0.9r

Solving for variable 'r'.

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

Add '0.9r' to each side of the equation.
1.5 + -4.5r + 0.9r = 2.385 + -0.9r + 0.9r

Combine like terms: -4.5r + 0.9r = -3.6r
1.5 + -3.6r = 2.385 + -0.9r + 0.9r

Combine like terms: -0.9r + 0.9r = 0.0
1.5 + -3.6r = 2.385 + 0.0
1.5 + -3.6r = 2.385

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -3.6r = 2.385 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -3.6r = 2.385 + -1.5
-3.6r = 2.385 + -1.5

Combine like terms: 2.385 + -1.5 = 0.885
-3.6r = 0.885

Divide each side by '-3.6'.
r = -0.2458333333

Simplifying
r = -0.2458333333

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