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Simplifying 5(z + 3) + q = 3(z + -2) + 6 Reorder the terms: 5(3 + z) + q = 3(z + -2) + 6 (3 * 5 + z * 5) + q = 3(z + -2) + 6 (15 + 5z) + q = 3(z + -2) + 6 Reorder the terms: 15 + q + 5z = 3(z + -2) + 6 Reorder the terms: 15 + q + 5z = 3(-2 + z) + 6 15 + q + 5z = (-2 * 3 + z * 3) + 6 15 + q + 5z = (-6 + 3z) + 6 Reorder the terms: 15 + q + 5z = -6 + 6 + 3z Combine like terms: -6 + 6 = 0 15 + q + 5z = 0 + 3z 15 + q + 5z = 3z Solving 15 + q + 5z = 3z Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + q + -15 + 5z = -15 + 3z Reorder the terms: 15 + -15 + q + 5z = -15 + 3z Combine like terms: 15 + -15 = 0 0 + q + 5z = -15 + 3z q + 5z = -15 + 3z Add '-5z' to each side of the equation. q + 5z + -5z = -15 + 3z + -5z Combine like terms: 5z + -5z = 0 q + 0 = -15 + 3z + -5z q = -15 + 3z + -5z Combine like terms: 3z + -5z = -2z q = -15 + -2z Simplifying q = -15 + -2z
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