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Simplifying 2z + -5(2 + 1) = 3z + 1 Combine like terms: 2 + 1 = 3 2z + -5(3) = 3z + 1 Multiply -5 * 3 2z + -15 = 3z + 1 Reorder the terms: -15 + 2z = 3z + 1 Reorder the terms: -15 + 2z = 1 + 3z Solving -15 + 2z = 1 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -15 + 2z + -3z = 1 + 3z + -3z Combine like terms: 2z + -3z = -1z -15 + -1z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 -15 + -1z = 1 + 0 -15 + -1z = 1 Add '15' to each side of the equation. -15 + 15 + -1z = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -1z = 1 + 15 -1z = 1 + 15 Combine like terms: 1 + 15 = 16 -1z = 16 Divide each side by '-1'. z = -16 Simplifying z = -16
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