21=4(q-6)+11q

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Solution for 21=4(q-6)+11q equation:


Simplifying
21 = 4(q + -6) + 11q

Reorder the terms:
21 = 4(-6 + q) + 11q
21 = (-6 * 4 + q * 4) + 11q
21 = (-24 + 4q) + 11q

Combine like terms: 4q + 11q = 15q
21 = -24 + 15q

Solving
21 = -24 + 15q

Solving for variable 'q'.

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

Add '-15q' to each side of the equation.
21 + -15q = -24 + 15q + -15q

Combine like terms: 15q + -15q = 0
21 + -15q = -24 + 0
21 + -15q = -24

Add '-21' to each side of the equation.
21 + -21 + -15q = -24 + -21

Combine like terms: 21 + -21 = 0
0 + -15q = -24 + -21
-15q = -24 + -21

Combine like terms: -24 + -21 = -45
-15q = -45

Divide each side by '-15'.
q = 3

Simplifying
q = 3

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