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Simplifying -2(10q + 7) = -6q Reorder the terms: -2(7 + 10q) = -6q (7 * -2 + 10q * -2) = -6q (-14 + -20q) = -6q Solving -14 + -20q = -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. -14 + -20q + 6q = -6q + 6q Combine like terms: -20q + 6q = -14q -14 + -14q = -6q + 6q Combine like terms: -6q + 6q = 0 -14 + -14q = 0 Add '14' to each side of the equation. -14 + 14 + -14q = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -14q = 0 + 14 -14q = 0 + 14 Combine like terms: 0 + 14 = 14 -14q = 14 Divide each side by '-14'. q = -1 Simplifying q = -1
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