-(0.4a+1)=-1.5+1.875(.75a-1.142)

Solution for -(0.4a+1)=-1.5+1.875(.75a-1.142) equation:

Simplifying
-1(0.4a + 1) = -1.5 + 1.875(0.75a + -1.142)

Reorder the terms:
-1(1 + 0.4a) = -1.5 + 1.875(0.75a + -1.142)
(1 * -1 + 0.4a * -1) = -1.5 + 1.875(0.75a + -1.142)
(-1 + -0.4a) = -1.5 + 1.875(0.75a + -1.142)

Reorder the terms:
-1 + -0.4a = -1.5 + 1.875(-1.142 + 0.75a)
-1 + -0.4a = -1.5 + (-1.142 * 1.875 + 0.75a * 1.875)
-1 + -0.4a = -1.5 + (-2.14125 + 1.40625a)

Combine like terms: -1.5 + -2.14125 = -3.64125
-1 + -0.4a = -3.64125 + 1.40625a

Solving
-1 + -0.4a = -3.64125 + 1.40625a

Solving for variable 'a'.

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

Add '-1.40625a' to each side of the equation.
-1 + -0.4a + -1.40625a = -3.64125 + 1.40625a + -1.40625a

Combine like terms: -0.4a + -1.40625a = -1.80625a
-1 + -1.80625a = -3.64125 + 1.40625a + -1.40625a

Combine like terms: 1.40625a + -1.40625a = 0.00000
-1 + -1.80625a = -3.64125 + 0.00000
-1 + -1.80625a = -3.64125

Add '1' to each side of the equation.
-1 + 1 + -1.80625a = -3.64125 + 1

Combine like terms: -1 + 1 = 0
0 + -1.80625a = -3.64125 + 1
-1.80625a = -3.64125 + 1

Combine like terms: -3.64125 + 1 = -2.64125
-1.80625a = -2.64125

Divide each side by '-1.80625'.
a = 1.462283737

Simplifying
a = 1.462283737