-7(q-4)=3(q+10)

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Solution for -7(q-4)=3(q+10) equation:


Simplifying
-7(q + -4) = 3(q + 10)

Reorder the terms:
-7(-4 + q) = 3(q + 10)
(-4 * -7 + q * -7) = 3(q + 10)
(28 + -7q) = 3(q + 10)

Reorder the terms:
28 + -7q = 3(10 + q)
28 + -7q = (10 * 3 + q * 3)
28 + -7q = (30 + 3q)

Solving
28 + -7q = 30 + 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
28 + -7q + -3q = 30 + 3q + -3q

Combine like terms: -7q + -3q = -10q
28 + -10q = 30 + 3q + -3q

Combine like terms: 3q + -3q = 0
28 + -10q = 30 + 0
28 + -10q = 30

Add '-28' to each side of the equation.
28 + -28 + -10q = 30 + -28

Combine like terms: 28 + -28 = 0
0 + -10q = 30 + -28
-10q = 30 + -28

Combine like terms: 30 + -28 = 2
-10q = 2

Divide each side by '-10'.
q = -0.2

Simplifying
q = -0.2

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