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Simplifying 4(q + -6) + 6 = 3(q + 10) + -1q Reorder the terms: 4(-6 + q) + 6 = 3(q + 10) + -1q (-6 * 4 + q * 4) + 6 = 3(q + 10) + -1q (-24 + 4q) + 6 = 3(q + 10) + -1q Reorder the terms: -24 + 6 + 4q = 3(q + 10) + -1q Combine like terms: -24 + 6 = -18 -18 + 4q = 3(q + 10) + -1q Reorder the terms: -18 + 4q = 3(10 + q) + -1q -18 + 4q = (10 * 3 + q * 3) + -1q -18 + 4q = (30 + 3q) + -1q Combine like terms: 3q + -1q = 2q -18 + 4q = 30 + 2q Solving -18 + 4q = 30 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -18 + 4q + -2q = 30 + 2q + -2q Combine like terms: 4q + -2q = 2q -18 + 2q = 30 + 2q + -2q Combine like terms: 2q + -2q = 0 -18 + 2q = 30 + 0 -18 + 2q = 30 Add '18' to each side of the equation. -18 + 18 + 2q = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 2q = 30 + 18 2q = 30 + 18 Combine like terms: 30 + 18 = 48 2q = 48 Divide each side by '2'. q = 24 Simplifying q = 24
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