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Simplifying 16 + 18q = 5q + -2(-8q + -4) Reorder the terms: 16 + 18q = 5q + -2(-4 + -8q) 16 + 18q = 5q + (-4 * -2 + -8q * -2) 16 + 18q = 5q + (8 + 16q) Reorder the terms: 16 + 18q = 8 + 5q + 16q Combine like terms: 5q + 16q = 21q 16 + 18q = 8 + 21q Solving 16 + 18q = 8 + 21q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-21q' to each side of the equation. 16 + 18q + -21q = 8 + 21q + -21q Combine like terms: 18q + -21q = -3q 16 + -3q = 8 + 21q + -21q Combine like terms: 21q + -21q = 0 16 + -3q = 8 + 0 16 + -3q = 8 Add '-16' to each side of the equation. 16 + -16 + -3q = 8 + -16 Combine like terms: 16 + -16 = 0 0 + -3q = 8 + -16 -3q = 8 + -16 Combine like terms: 8 + -16 = -8 -3q = -8 Divide each side by '-3'. q = 2.666666667 Simplifying q = 2.666666667
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