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Simplifying 7(2q + -5) + -4(7 + -4q) = q Reorder the terms: 7(-5 + 2q) + -4(7 + -4q) = q (-5 * 7 + 2q * 7) + -4(7 + -4q) = q (-35 + 14q) + -4(7 + -4q) = q -35 + 14q + (7 * -4 + -4q * -4) = q -35 + 14q + (-28 + 16q) = q Reorder the terms: -35 + -28 + 14q + 16q = q Combine like terms: -35 + -28 = -63 -63 + 14q + 16q = q Combine like terms: 14q + 16q = 30q -63 + 30q = q Solving -63 + 30q = q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. -63 + 30q + -1q = q + -1q Combine like terms: 30q + -1q = 29q -63 + 29q = q + -1q Combine like terms: q + -1q = 0 -63 + 29q = 0 Add '63' to each side of the equation. -63 + 63 + 29q = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 29q = 0 + 63 29q = 0 + 63 Combine like terms: 0 + 63 = 63 29q = 63 Divide each side by '29'. q = 2.172413793 Simplifying q = 2.172413793
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