0.98+2.5(g-4)+3(0.4-g)=5(g+0.1)-3(0.5g+1)

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Solution for 0.98+2.5(g-4)+3(0.4-g)=5(g+0.1)-3(0.5g+1) equation:


Simplifying
0.98 + 2.5(g + -4) + 3(0.4 + -1g) = 5(g + 0.1) + -3(0.5g + 1)

Reorder the terms:
0.98 + 2.5(-4 + g) + 3(0.4 + -1g) = 5(g + 0.1) + -3(0.5g + 1)
0.98 + (-4 * 2.5 + g * 2.5) + 3(0.4 + -1g) = 5(g + 0.1) + -3(0.5g + 1)
0.98 + (-10 + 2.5g) + 3(0.4 + -1g) = 5(g + 0.1) + -3(0.5g + 1)
0.98 + -10 + 2.5g + (0.4 * 3 + -1g * 3) = 5(g + 0.1) + -3(0.5g + 1)
0.98 + -10 + 2.5g + (1.2 + -3g) = 5(g + 0.1) + -3(0.5g + 1)

Reorder the terms:
0.98 + -10 + 1.2 + 2.5g + -3g = 5(g + 0.1) + -3(0.5g + 1)

Combine like terms: 0.98 + -10 = -9.02
-9.02 + 1.2 + 2.5g + -3g = 5(g + 0.1) + -3(0.5g + 1)

Combine like terms: -9.02 + 1.2 = -7.82
-7.82 + 2.5g + -3g = 5(g + 0.1) + -3(0.5g + 1)

Combine like terms: 2.5g + -3g = -0.5g
-7.82 + -0.5g = 5(g + 0.1) + -3(0.5g + 1)

Reorder the terms:
-7.82 + -0.5g = 5(0.1 + g) + -3(0.5g + 1)
-7.82 + -0.5g = (0.1 * 5 + g * 5) + -3(0.5g + 1)
-7.82 + -0.5g = (0.5 + 5g) + -3(0.5g + 1)

Reorder the terms:
-7.82 + -0.5g = 0.5 + 5g + -3(1 + 0.5g)
-7.82 + -0.5g = 0.5 + 5g + (1 * -3 + 0.5g * -3)
-7.82 + -0.5g = 0.5 + 5g + (-3 + -1.5g)

Reorder the terms:
-7.82 + -0.5g = 0.5 + -3 + 5g + -1.5g

Combine like terms: 0.5 + -3 = -2.5
-7.82 + -0.5g = -2.5 + 5g + -1.5g

Combine like terms: 5g + -1.5g = 3.5g
-7.82 + -0.5g = -2.5 + 3.5g

Solving
-7.82 + -0.5g = -2.5 + 3.5g

Solving for variable 'g'.

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

Add '-3.5g' to each side of the equation.
-7.82 + -0.5g + -3.5g = -2.5 + 3.5g + -3.5g

Combine like terms: -0.5g + -3.5g = -4g
-7.82 + -4g = -2.5 + 3.5g + -3.5g

Combine like terms: 3.5g + -3.5g = 0.0
-7.82 + -4g = -2.5 + 0.0
-7.82 + -4g = -2.5

Add '7.82' to each side of the equation.
-7.82 + 7.82 + -4g = -2.5 + 7.82

Combine like terms: -7.82 + 7.82 = 0.00
0.00 + -4g = -2.5 + 7.82
-4g = -2.5 + 7.82

Combine like terms: -2.5 + 7.82 = 5.32
-4g = 5.32

Divide each side by '-4'.
g = -1.33

Simplifying
g = -1.33

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