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Simplifying 5(z + 3) + -2.5z = 35 + z + 10 Reorder the terms: 5(3 + z) + -2.5z = 35 + z + 10 (3 * 5 + z * 5) + -2.5z = 35 + z + 10 (15 + 5z) + -2.5z = 35 + z + 10 Combine like terms: 5z + -2.5z = 2.5z 15 + 2.5z = 35 + z + 10 Reorder the terms: 15 + 2.5z = 35 + 10 + z Combine like terms: 35 + 10 = 45 15 + 2.5z = 45 + z Solving 15 + 2.5z = 45 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 15 + 2.5z + -1z = 45 + z + -1z Combine like terms: 2.5z + -1z = 1.5z 15 + 1.5z = 45 + z + -1z Combine like terms: z + -1z = 0 15 + 1.5z = 45 + 0 15 + 1.5z = 45 Add '-15' to each side of the equation. 15 + -15 + 1.5z = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 1.5z = 45 + -15 1.5z = 45 + -15 Combine like terms: 45 + -15 = 30 1.5z = 30 Divide each side by '1.5'. z = 20 Simplifying z = 20
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