1+0.60(q-4)=0.40(q+1)

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Solution for 1+0.60(q-4)=0.40(q+1) equation: 


Simplifying
1 + 0.60(q + -4) = 0.40(q + 1)

Reorder the terms:
1 + 0.60(-4 + q) = 0.40(q + 1)
1 + (-4 * 0.60 + q * 0.60) = 0.40(q + 1)
1 + (-2.4 + 0.60q) = 0.40(q + 1)

Combine like terms: 1 + -2.4 = -1.4
-1.4 + 0.60q = 0.40(q + 1)

Reorder the terms:
-1.4 + 0.60q = 0.40(1 + q)
-1.4 + 0.60q = (1 * 0.40 + q * 0.40)
-1.4 + 0.60q = (0.4 + 0.40q)

Solving
-1.4 + 0.60q = 0.4 + 0.40q

Solving for variable 'q'.

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

Add '-0.40q' to each side of the equation.
-1.4 + 0.60q + -0.40q = 0.4 + 0.40q + -0.40q

Combine like terms: 0.60q + -0.40q = 0.2q
-1.4 + 0.2q = 0.4 + 0.40q + -0.40q

Combine like terms: 0.40q + -0.40q = 0.00
-1.4 + 0.2q = 0.4 + 0.00
-1.4 + 0.2q = 0.4

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 0.2q = 0.4 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 0.2q = 0.4 + 1.4
0.2q = 0.4 + 1.4

Combine like terms: 0.4 + 1.4 = 1.8
0.2q = 1.8

Divide each side by '0.2'.
q = 9

Simplifying
q = 9

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