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Simplifying 3(z + 15) = 5z + 7 Reorder the terms: 3(15 + z) = 5z + 7 (15 * 3 + z * 3) = 5z + 7 (45 + 3z) = 5z + 7 Reorder the terms: 45 + 3z = 7 + 5z Solving 45 + 3z = 7 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 45 + 3z + -5z = 7 + 5z + -5z Combine like terms: 3z + -5z = -2z 45 + -2z = 7 + 5z + -5z Combine like terms: 5z + -5z = 0 45 + -2z = 7 + 0 45 + -2z = 7 Add '-45' to each side of the equation. 45 + -45 + -2z = 7 + -45 Combine like terms: 45 + -45 = 0 0 + -2z = 7 + -45 -2z = 7 + -45 Combine like terms: 7 + -45 = -38 -2z = -38 Divide each side by '-2'. z = 19 Simplifying z = 19
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