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Simplifying 16q + -4(2q + 8) = -16 Reorder the terms: 16q + -4(8 + 2q) = -16 16q + (8 * -4 + 2q * -4) = -16 16q + (-32 + -8q) = -16 Reorder the terms: -32 + 16q + -8q = -16 Combine like terms: 16q + -8q = 8q -32 + 8q = -16 Solving -32 + 8q = -16 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 8q = -16 + 32 Combine like terms: -32 + 32 = 0 0 + 8q = -16 + 32 8q = -16 + 32 Combine like terms: -16 + 32 = 16 8q = 16 Divide each side by '8'. q = 2 Simplifying q = 2
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