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Simplifying (16 + -3 * 5) * q + 13 = (2 * 9 + -16) * q + (1 + -1) Multiply -3 * 5 (16 + -15) * q + 13 = (2 * 9 + -16) * q + (1 + -1) Combine like terms: 16 + -15 = 1 (1) * q + 13 = (2 * 9 + -16) * q + (1 + -1) Reorder the terms: 13 + 1q = (2 * 9 + -16) * q + (1 + -1) Multiply 2 * 9 13 + 1q = (18 + -16) * q + (1 + -1) Combine like terms: 18 + -16 = 2 13 + 1q = (2) * q + (1 + -1) Combine like terms: 1 + -1 = 0 13 + 1q = 2q + (0) 13 + 1q = 2q + 0 Reorder the terms: 13 + 1q = 0 + 2q Remove the zero: 13 + 1q = 2q Solving 13 + 1q = 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. 13 + 1q + -2q = 2q + -2q Combine like terms: 1q + -2q = -1q 13 + -1q = 2q + -2q Combine like terms: 2q + -2q = 0 13 + -1q = 0 Add '-13' to each side of the equation. 13 + -13 + -1q = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1q = 0 + -13 -1q = 0 + -13 Combine like terms: 0 + -13 = -13 -1q = -13 Divide each side by '-1'. q = 13 Simplifying q = 13
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