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Simplifying 4(q + -3) = -3(2q + -7) Reorder the terms: 4(-3 + q) = -3(2q + -7) (-3 * 4 + q * 4) = -3(2q + -7) (-12 + 4q) = -3(2q + -7) Reorder the terms: -12 + 4q = -3(-7 + 2q) -12 + 4q = (-7 * -3 + 2q * -3) -12 + 4q = (21 + -6q) Solving -12 + 4q = 21 + -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. -12 + 4q + 6q = 21 + -6q + 6q Combine like terms: 4q + 6q = 10q -12 + 10q = 21 + -6q + 6q Combine like terms: -6q + 6q = 0 -12 + 10q = 21 + 0 -12 + 10q = 21 Add '12' to each side of the equation. -12 + 12 + 10q = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 10q = 21 + 12 10q = 21 + 12 Combine like terms: 21 + 12 = 33 10q = 33 Divide each side by '10'. q = 3.3 Simplifying q = 3.3
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