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Simplifying 18 + -6q = 4q + -4(a + 3) Reorder the terms: 18 + -6q = 4q + -4(3 + a) 18 + -6q = 4q + (3 * -4 + a * -4) 18 + -6q = 4q + (-12 + -4a) Reorder the terms: 18 + -6q = -12 + -4a + 4q Solving 18 + -6q = -12 + -4a + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 18 + -6q + -4q = -12 + -4a + 4q + -4q Combine like terms: -6q + -4q = -10q 18 + -10q = -12 + -4a + 4q + -4q Combine like terms: 4q + -4q = 0 18 + -10q = -12 + -4a + 0 18 + -10q = -12 + -4a Add '-18' to each side of the equation. 18 + -18 + -10q = -12 + -18 + -4a Combine like terms: 18 + -18 = 0 0 + -10q = -12 + -18 + -4a -10q = -12 + -18 + -4a Combine like terms: -12 + -18 = -30 -10q = -30 + -4a Divide each side by '-10'. q = 3 + 0.4a Simplifying q = 3 + 0.4a
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