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Simplifying 6q + -1(8q + 16) = 2 + -1(6q + -5) Reorder the terms: 6q + -1(16 + 8q) = 2 + -1(6q + -5) 6q + (16 * -1 + 8q * -1) = 2 + -1(6q + -5) 6q + (-16 + -8q) = 2 + -1(6q + -5) Reorder the terms: -16 + 6q + -8q = 2 + -1(6q + -5) Combine like terms: 6q + -8q = -2q -16 + -2q = 2 + -1(6q + -5) Reorder the terms: -16 + -2q = 2 + -1(-5 + 6q) -16 + -2q = 2 + (-5 * -1 + 6q * -1) -16 + -2q = 2 + (5 + -6q) Combine like terms: 2 + 5 = 7 -16 + -2q = 7 + -6q Solving -16 + -2q = 7 + -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. -16 + -2q + 6q = 7 + -6q + 6q Combine like terms: -2q + 6q = 4q -16 + 4q = 7 + -6q + 6q Combine like terms: -6q + 6q = 0 -16 + 4q = 7 + 0 -16 + 4q = 7 Add '16' to each side of the equation. -16 + 16 + 4q = 7 + 16 Combine like terms: -16 + 16 = 0 0 + 4q = 7 + 16 4q = 7 + 16 Combine like terms: 7 + 16 = 23 4q = 23 Divide each side by '4'. q = 5.75 Simplifying q = 5.75
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