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Simplifying 10 + -4(q + 7) = 2(1 + -1p) Reorder the terms: 10 + -4(7 + q) = 2(1 + -1p) 10 + (7 * -4 + q * -4) = 2(1 + -1p) 10 + (-28 + -4q) = 2(1 + -1p) Combine like terms: 10 + -28 = -18 -18 + -4q = 2(1 + -1p) -18 + -4q = (1 * 2 + -1p * 2) -18 + -4q = (2 + -2p) Solving -18 + -4q = 2 + -2p Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -4q = 2 + 18 + -2p Combine like terms: -18 + 18 = 0 0 + -4q = 2 + 18 + -2p -4q = 2 + 18 + -2p Combine like terms: 2 + 18 = 20 -4q = 20 + -2p Divide each side by '-4'. q = -5 + 0.5p Simplifying q = -5 + 0.5p
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