15a-3(4q-6)=3q-9

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Solution for 15a-3(4q-6)=3q-9 equation:


Simplifying
15a + -3(4q + -6) = 3q + -9

Reorder the terms:
15a + -3(-6 + 4q) = 3q + -9
15a + (-6 * -3 + 4q * -3) = 3q + -9
15a + (18 + -12q) = 3q + -9

Reorder the terms:
18 + 15a + -12q = 3q + -9

Reorder the terms:
18 + 15a + -12q = -9 + 3q

Solving
18 + 15a + -12q = -9 + 3q

Solving for variable 'a'.

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

Add '-18' to each side of the equation.
18 + 15a + -18 + -12q = -9 + -18 + 3q

Reorder the terms:
18 + -18 + 15a + -12q = -9 + -18 + 3q

Combine like terms: 18 + -18 = 0
0 + 15a + -12q = -9 + -18 + 3q
15a + -12q = -9 + -18 + 3q

Combine like terms: -9 + -18 = -27
15a + -12q = -27 + 3q

Add '12q' to each side of the equation.
15a + -12q + 12q = -27 + 3q + 12q

Combine like terms: -12q + 12q = 0
15a + 0 = -27 + 3q + 12q
15a = -27 + 3q + 12q

Combine like terms: 3q + 12q = 15q
15a = -27 + 15q

Divide each side by '15'.
a = -1.8 + q

Simplifying
a = -1.8 + q

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