0.35(a+70)-0.2(a+40)=450

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Solution for 0.35(a+70)-0.2(a+40)=450 equation:


Simplifying
0.35(a + 70) + -0.2(a + 40) = 450

Reorder the terms:
0.35(70 + a) + -0.2(a + 40) = 450
(70 * 0.35 + a * 0.35) + -0.2(a + 40) = 450
(24.5 + 0.35a) + -0.2(a + 40) = 450

Reorder the terms:
24.5 + 0.35a + -0.2(40 + a) = 450
24.5 + 0.35a + (40 * -0.2 + a * -0.2) = 450
24.5 + 0.35a + (-8 + -0.2a) = 450

Reorder the terms:
24.5 + -8 + 0.35a + -0.2a = 450

Combine like terms: 24.5 + -8 = 16.5
16.5 + 0.35a + -0.2a = 450

Combine like terms: 0.35a + -0.2a = 0.15a
16.5 + 0.15a = 450

Solving
16.5 + 0.15a = 450

Solving for variable 'a'.

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

Add '-16.5' to each side of the equation.
16.5 + -16.5 + 0.15a = 450 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + 0.15a = 450 + -16.5
0.15a = 450 + -16.5

Combine like terms: 450 + -16.5 = 433.5
0.15a = 433.5

Divide each side by '0.15'.
a = 2890

Simplifying
a = 2890

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