7a*2-15b*3+5b*3+9a*2-4b*3=

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Solution for 7a*2-15b*3+5b*3+9a*2-4b*3= equation:


Simplifying
7a * 2 + -15b * 3 + 5b * 3 + 9a * 2 + -4b * 3 = 0

Reorder the terms for easier multiplication:
7 * 2a + -15b * 3 + 5b * 3 + 9a * 2 + -4b * 3 = 0

Multiply 7 * 2
14a + -15b * 3 + 5b * 3 + 9a * 2 + -4b * 3 = 0

Reorder the terms for easier multiplication:
14a + -15 * 3b + 5b * 3 + 9a * 2 + -4b * 3 = 0

Multiply -15 * 3
14a + -45b + 5b * 3 + 9a * 2 + -4b * 3 = 0

Reorder the terms for easier multiplication:
14a + -45b + 5 * 3b + 9a * 2 + -4b * 3 = 0

Multiply 5 * 3
14a + -45b + 15b + 9a * 2 + -4b * 3 = 0

Reorder the terms for easier multiplication:
14a + -45b + 15b + 9 * 2a + -4b * 3 = 0

Multiply 9 * 2
14a + -45b + 15b + 18a + -4b * 3 = 0

Reorder the terms for easier multiplication:
14a + -45b + 15b + 18a + -4 * 3b = 0

Multiply -4 * 3
14a + -45b + 15b + 18a + -12b = 0

Reorder the terms:
14a + 18a + -45b + 15b + -12b = 0

Combine like terms: 14a + 18a = 32a
32a + -45b + 15b + -12b = 0

Combine like terms: -45b + 15b = -30b
32a + -30b + -12b = 0

Combine like terms: -30b + -12b = -42b
32a + -42b = 0

Solving
32a + -42b = 0

Solving for variable 'a'.

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

Add '42b' to each side of the equation.
32a + -42b + 42b = 0 + 42b

Combine like terms: -42b + 42b = 0
32a + 0 = 0 + 42b
32a = 0 + 42b
Remove the zero:
32a = 42b

Divide each side by '32'.
a = 1.3125b

Simplifying
a = 1.3125b

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