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Simplifying -4(4q + 6) + 2(q + -7) = 0 Reorder the terms: -4(6 + 4q) + 2(q + -7) = 0 (6 * -4 + 4q * -4) + 2(q + -7) = 0 (-24 + -16q) + 2(q + -7) = 0 Reorder the terms: -24 + -16q + 2(-7 + q) = 0 -24 + -16q + (-7 * 2 + q * 2) = 0 -24 + -16q + (-14 + 2q) = 0 Reorder the terms: -24 + -14 + -16q + 2q = 0 Combine like terms: -24 + -14 = -38 -38 + -16q + 2q = 0 Combine like terms: -16q + 2q = -14q -38 + -14q = 0 Solving -38 + -14q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -14q = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -14q = 0 + 38 -14q = 0 + 38 Combine like terms: 0 + 38 = 38 -14q = 38 Divide each side by '-14'. q = -2.714285714 Simplifying q = -2.714285714
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