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Simplifying 2(4q + 11) + -15q = -4q + -2q + 4 Reorder the terms: 2(11 + 4q) + -15q = -4q + -2q + 4 (11 * 2 + 4q * 2) + -15q = -4q + -2q + 4 (22 + 8q) + -15q = -4q + -2q + 4 Combine like terms: 8q + -15q = -7q 22 + -7q = -4q + -2q + 4 Reorder the terms: 22 + -7q = 4 + -4q + -2q Combine like terms: -4q + -2q = -6q 22 + -7q = 4 + -6q Solving 22 + -7q = 4 + -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. 22 + -7q + 6q = 4 + -6q + 6q Combine like terms: -7q + 6q = -1q 22 + -1q = 4 + -6q + 6q Combine like terms: -6q + 6q = 0 22 + -1q = 4 + 0 22 + -1q = 4 Add '-22' to each side of the equation. 22 + -22 + -1q = 4 + -22 Combine like terms: 22 + -22 = 0 0 + -1q = 4 + -22 -1q = 4 + -22 Combine like terms: 4 + -22 = -18 -1q = -18 Divide each side by '-1'. q = 18 Simplifying q = 18
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