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Simplifying 7(2q + -5) + -4(7 + -4q) = 37 Reorder the terms: 7(-5 + 2q) + -4(7 + -4q) = 37 (-5 * 7 + 2q * 7) + -4(7 + -4q) = 37 (-35 + 14q) + -4(7 + -4q) = 37 -35 + 14q + (7 * -4 + -4q * -4) = 37 -35 + 14q + (-28 + 16q) = 37 Reorder the terms: -35 + -28 + 14q + 16q = 37 Combine like terms: -35 + -28 = -63 -63 + 14q + 16q = 37 Combine like terms: 14q + 16q = 30q -63 + 30q = 37 Solving -63 + 30q = 37 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 30q = 37 + 63 Combine like terms: -63 + 63 = 0 0 + 30q = 37 + 63 30q = 37 + 63 Combine like terms: 37 + 63 = 100 30q = 100 Divide each side by '30'. q = 3.333333333 Simplifying q = 3.333333333
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