800=(a*1)8+(a*1.5)4

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Solution for 800=(a*1)8+(a*1.5)4 equation:


Simplifying
800 = (a * 1) * 8 + (a * 1.5) * 4

Reorder the terms for easier multiplication:
800 = (1a) * 8 + (a * 1.5) * 4

Remove parenthesis around (1a)
800 = 1a * 8 + (a * 1.5) * 4

Reorder the terms for easier multiplication:
800 = 1 * 8a + (a * 1.5) * 4

Multiply 1 * 8
800 = 8a + (a * 1.5) * 4

Reorder the terms for easier multiplication:
800 = 8a + (1.5a) * 4

Remove parenthesis around (1.5a)
800 = 8a + 1.5a * 4

Reorder the terms for easier multiplication:
800 = 8a + 1.5 * 4a

Multiply 1.5 * 4
800 = 8a + 6a

Combine like terms: 8a + 6a = 14a
800 = 14a

Solving
800 = 14a

Solving for variable 'a'.

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

Add '-14a' to each side of the equation.
800 + -14a = 14a + -14a

Combine like terms: 14a + -14a = 0
800 + -14a = 0

Add '-800' to each side of the equation.
800 + -800 + -14a = 0 + -800

Combine like terms: 800 + -800 = 0
0 + -14a = 0 + -800
-14a = 0 + -800

Combine like terms: 0 + -800 = -800
-14a = -800

Divide each side by '-14'.
a = 57.14285714

Simplifying
a = 57.14285714

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