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Simplifying 8z2 + cz + 35 = (4z + 7) * 2z + 5 Reorder the terms: 35 + cz + 8z2 = (4z + 7) * 2z + 5 Reorder the terms: 35 + cz + 8z2 = (7 + 4z) * 2z + 5 Reorder the terms for easier multiplication: 35 + cz + 8z2 = 2z(7 + 4z) + 5 35 + cz + 8z2 = (7 * 2z + 4z * 2z) + 5 35 + cz + 8z2 = (14z + 8z2) + 5 Reorder the terms: 35 + cz + 8z2 = 5 + 14z + 8z2 Add '-8z2' to each side of the equation. 35 + cz + 8z2 + -8z2 = 5 + 14z + 8z2 + -8z2 Combine like terms: 8z2 + -8z2 = 0 35 + cz + 0 = 5 + 14z + 8z2 + -8z2 35 + cz = 5 + 14z + 8z2 + -8z2 Combine like terms: 8z2 + -8z2 = 0 35 + cz = 5 + 14z + 0 35 + cz = 5 + 14z Solving 35 + cz = 5 + 14z Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + cz = 5 + -35 + 14z Combine like terms: 35 + -35 = 0 0 + cz = 5 + -35 + 14z cz = 5 + -35 + 14z Combine like terms: 5 + -35 = -30 cz = -30 + 14z Divide each side by 'z'. c = -30z-1 + 14 Simplifying c = -30z-1 + 14 Reorder the terms: c = 14 + -30z-1
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