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Simplifying 4(q + -1) = 6q + -5 Reorder the terms: 4(-1 + q) = 6q + -5 (-1 * 4 + q * 4) = 6q + -5 (-4 + 4q) = 6q + -5 Reorder the terms: -4 + 4q = -5 + 6q Solving -4 + 4q = -5 + 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. -4 + 4q + -6q = -5 + 6q + -6q Combine like terms: 4q + -6q = -2q -4 + -2q = -5 + 6q + -6q Combine like terms: 6q + -6q = 0 -4 + -2q = -5 + 0 -4 + -2q = -5 Add '4' to each side of the equation. -4 + 4 + -2q = -5 + 4 Combine like terms: -4 + 4 = 0 0 + -2q = -5 + 4 -2q = -5 + 4 Combine like terms: -5 + 4 = -1 -2q = -1 Divide each side by '-2'. q = 0.5 Simplifying q = 0.5
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