.05(3q+87)=1.5q+43.5

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Solution for .05(3q+87)=1.5q+43.5 equation:


Simplifying
0.05(3q + 87) = 1.5q + 43.5

Reorder the terms:
0.05(87 + 3q) = 1.5q + 43.5
(87 * 0.05 + 3q * 0.05) = 1.5q + 43.5
(4.35 + 0.15q) = 1.5q + 43.5

Reorder the terms:
4.35 + 0.15q = 43.5 + 1.5q

Solving
4.35 + 0.15q = 43.5 + 1.5q

Solving for variable 'q'.

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

Add '-1.5q' to each side of the equation.
4.35 + 0.15q + -1.5q = 43.5 + 1.5q + -1.5q

Combine like terms: 0.15q + -1.5q = -1.35q
4.35 + -1.35q = 43.5 + 1.5q + -1.5q

Combine like terms: 1.5q + -1.5q = 0.0
4.35 + -1.35q = 43.5 + 0.0
4.35 + -1.35q = 43.5

Add '-4.35' to each side of the equation.
4.35 + -4.35 + -1.35q = 43.5 + -4.35

Combine like terms: 4.35 + -4.35 = 0.00
0.00 + -1.35q = 43.5 + -4.35
-1.35q = 43.5 + -4.35

Combine like terms: 43.5 + -4.35 = 39.15
-1.35q = 39.15

Divide each side by '-1.35'.
q = -29

Simplifying
q = -29

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