15+2(q-l)=3(2q+l)-18

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Solution for 15+2(q-l)=3(2q+l)-18 equation:


Simplifying
15 + 2(q + -1l) = 3(2q + l) + -18

Reorder the terms:
15 + 2(-1l + q) = 3(2q + l) + -18
15 + (-1l * 2 + q * 2) = 3(2q + l) + -18
15 + (-2l + 2q) = 3(2q + l) + -18

Reorder the terms:
15 + -2l + 2q = 3(l + 2q) + -18
15 + -2l + 2q = (l * 3 + 2q * 3) + -18
15 + -2l + 2q = (3l + 6q) + -18

Reorder the terms:
15 + -2l + 2q = -18 + 3l + 6q

Solving
15 + -2l + 2q = -18 + 3l + 6q

Solving for variable 'l'.

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

Add '-3l' to each side of the equation.
15 + -2l + -3l + 2q = -18 + 3l + -3l + 6q

Combine like terms: -2l + -3l = -5l
15 + -5l + 2q = -18 + 3l + -3l + 6q

Combine like terms: 3l + -3l = 0
15 + -5l + 2q = -18 + 0 + 6q
15 + -5l + 2q = -18 + 6q

Add '-15' to each side of the equation.
15 + -5l + -15 + 2q = -18 + -15 + 6q

Reorder the terms:
15 + -15 + -5l + 2q = -18 + -15 + 6q

Combine like terms: 15 + -15 = 0
0 + -5l + 2q = -18 + -15 + 6q
-5l + 2q = -18 + -15 + 6q

Combine like terms: -18 + -15 = -33
-5l + 2q = -33 + 6q

Add '-2q' to each side of the equation.
-5l + 2q + -2q = -33 + 6q + -2q

Combine like terms: 2q + -2q = 0
-5l + 0 = -33 + 6q + -2q
-5l = -33 + 6q + -2q

Combine like terms: 6q + -2q = 4q
-5l = -33 + 4q

Divide each side by '-5'.
l = 6.6 + -0.8q

Simplifying
l = 6.6 + -0.8q

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