0.07(6t+8)=0.42(t+2a)-0.28

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Solution for 0.07(6t+8)=0.42(t+2a)-0.28 equation: 


Simplifying
0.07(6t + 8) = 0.42(t + 2a) + -0.28

Reorder the terms:
0.07(8 + 6t) = 0.42(t + 2a) + -0.28
(8 * 0.07 + 6t * 0.07) = 0.42(t + 2a) + -0.28
(0.56 + 0.42t) = 0.42(t + 2a) + -0.28

Reorder the terms:
0.56 + 0.42t = 0.42(2a + t) + -0.28
0.56 + 0.42t = (2a * 0.42 + t * 0.42) + -0.28
0.56 + 0.42t = (0.84a + 0.42t) + -0.28

Reorder the terms:
0.56 + 0.42t = -0.28 + 0.84a + 0.42t

Add '-0.42t' to each side of the equation.
0.56 + 0.42t + -0.42t = -0.28 + 0.84a + 0.42t + -0.42t

Combine like terms: 0.42t + -0.42t = 0.00
0.56 + 0.00 = -0.28 + 0.84a + 0.42t + -0.42t
0.56 = -0.28 + 0.84a + 0.42t + -0.42t

Combine like terms: 0.42t + -0.42t = 0.00
0.56 = -0.28 + 0.84a + 0.00
0.56 = -0.28 + 0.84a

Solving
0.56 = -0.28 + 0.84a

Solving for variable 'a'.

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

Add '-0.84a' to each side of the equation.
0.56 + -0.84a = -0.28 + 0.84a + -0.84a

Combine like terms: 0.84a + -0.84a = 0.00
0.56 + -0.84a = -0.28 + 0.00
0.56 + -0.84a = -0.28

Add '-0.56' to each side of the equation.
0.56 + -0.56 + -0.84a = -0.28 + -0.56

Combine like terms: 0.56 + -0.56 = 0.00
0.00 + -0.84a = -0.28 + -0.56
-0.84a = -0.28 + -0.56

Combine like terms: -0.28 + -0.56 = -0.84
-0.84a = -0.84

Divide each side by '-0.84'.
a = 1

Simplifying
a = 1

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