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Simplifying 18q + -6(-1q + 1) = 9(10q + -8) Reorder the terms: 18q + -6(1 + -1q) = 9(10q + -8) 18q + (1 * -6 + -1q * -6) = 9(10q + -8) 18q + (-6 + 6q) = 9(10q + -8) Reorder the terms: -6 + 18q + 6q = 9(10q + -8) Combine like terms: 18q + 6q = 24q -6 + 24q = 9(10q + -8) Reorder the terms: -6 + 24q = 9(-8 + 10q) -6 + 24q = (-8 * 9 + 10q * 9) -6 + 24q = (-72 + 90q) Solving -6 + 24q = -72 + 90q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-90q' to each side of the equation. -6 + 24q + -90q = -72 + 90q + -90q Combine like terms: 24q + -90q = -66q -6 + -66q = -72 + 90q + -90q Combine like terms: 90q + -90q = 0 -6 + -66q = -72 + 0 -6 + -66q = -72 Add '6' to each side of the equation. -6 + 6 + -66q = -72 + 6 Combine like terms: -6 + 6 = 0 0 + -66q = -72 + 6 -66q = -72 + 6 Combine like terms: -72 + 6 = -66 -66q = -66 Divide each side by '-66'. q = 1 Simplifying q = 1
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