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Simplifying 2(q + -29) = 0.5(4 + -89) Reorder the terms: 2(-29 + q) = 0.5(4 + -89) (-29 * 2 + q * 2) = 0.5(4 + -89) (-58 + 2q) = 0.5(4 + -89) Combine like terms: 4 + -89 = -85 -58 + 2q = 0.5(-85) Multiply 0.5 * -85 -58 + 2q = -42.5 Solving -58 + 2q = -42.5 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 2q = -42.5 + 58 Combine like terms: -58 + 58 = 0 0 + 2q = -42.5 + 58 2q = -42.5 + 58 Combine like terms: -42.5 + 58 = 15.5 2q = 15.5 Divide each side by '2'. q = 7.75 Simplifying q = 7.75
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