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Simplifying -7(4q + 14) = 14 + 7(-6q + 6) Reorder the terms: -7(14 + 4q) = 14 + 7(-6q + 6) (14 * -7 + 4q * -7) = 14 + 7(-6q + 6) (-98 + -28q) = 14 + 7(-6q + 6) Reorder the terms: -98 + -28q = 14 + 7(6 + -6q) -98 + -28q = 14 + (6 * 7 + -6q * 7) -98 + -28q = 14 + (42 + -42q) Combine like terms: 14 + 42 = 56 -98 + -28q = 56 + -42q Solving -98 + -28q = 56 + -42q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '42q' to each side of the equation. -98 + -28q + 42q = 56 + -42q + 42q Combine like terms: -28q + 42q = 14q -98 + 14q = 56 + -42q + 42q Combine like terms: -42q + 42q = 0 -98 + 14q = 56 + 0 -98 + 14q = 56 Add '98' to each side of the equation. -98 + 98 + 14q = 56 + 98 Combine like terms: -98 + 98 = 0 0 + 14q = 56 + 98 14q = 56 + 98 Combine like terms: 56 + 98 = 154 14q = 154 Divide each side by '14'. q = 11 Simplifying q = 11
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