-.8(a-.5)=.7(a-14)

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Solution for -.8(a-.5)=.7(a-14) equation:


Simplifying
-0.8(a + -0.5) = 0.7(a + -14)

Reorder the terms:
-0.8(-0.5 + a) = 0.7(a + -14)
(-0.5 * -0.8 + a * -0.8) = 0.7(a + -14)
(0.4 + -0.8a) = 0.7(a + -14)

Reorder the terms:
0.4 + -0.8a = 0.7(-14 + a)
0.4 + -0.8a = (-14 * 0.7 + a * 0.7)
0.4 + -0.8a = (-9.8 + 0.7a)

Solving
0.4 + -0.8a = -9.8 + 0.7a

Solving for variable 'a'.

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

Add '-0.7a' to each side of the equation.
0.4 + -0.8a + -0.7a = -9.8 + 0.7a + -0.7a

Combine like terms: -0.8a + -0.7a = -1.5a
0.4 + -1.5a = -9.8 + 0.7a + -0.7a

Combine like terms: 0.7a + -0.7a = 0.0
0.4 + -1.5a = -9.8 + 0.0
0.4 + -1.5a = -9.8

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -1.5a = -9.8 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -1.5a = -9.8 + -0.4
-1.5a = -9.8 + -0.4

Combine like terms: -9.8 + -0.4 = -10.2
-1.5a = -10.2

Divide each side by '-1.5'.
a = 6.8

Simplifying
a = 6.8

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