4.5(a+1)-2=4(a+3)

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Solution for 4.5(a+1)-2=4(a+3) equation: 


Simplifying
4.5(a + 1) + -2 = 4(a + 3)

Reorder the terms:
4.5(1 + a) + -2 = 4(a + 3)
(1 * 4.5 + a * 4.5) + -2 = 4(a + 3)
(4.5 + 4.5a) + -2 = 4(a + 3)

Reorder the terms:
4.5 + -2 + 4.5a = 4(a + 3)

Combine like terms: 4.5 + -2 = 2.5
2.5 + 4.5a = 4(a + 3)

Reorder the terms:
2.5 + 4.5a = 4(3 + a)
2.5 + 4.5a = (3 * 4 + a * 4)
2.5 + 4.5a = (12 + 4a)

Solving
2.5 + 4.5a = 12 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
2.5 + 4.5a + -4a = 12 + 4a + -4a

Combine like terms: 4.5a + -4a = 0.5a
2.5 + 0.5a = 12 + 4a + -4a

Combine like terms: 4a + -4a = 0
2.5 + 0.5a = 12 + 0
2.5 + 0.5a = 12

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.5a = 12 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.5a = 12 + -2.5
0.5a = 12 + -2.5

Combine like terms: 12 + -2.5 = 9.5
0.5a = 9.5

Divide each side by '0.5'.
a = 19

Simplifying
a = 19

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