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Simplifying 3z + -1(z + 10) + -1(z + -3) = 14 + -1z Reorder the terms: 3z + -1(10 + z) + -1(z + -3) = 14 + -1z 3z + (10 * -1 + z * -1) + -1(z + -3) = 14 + -1z 3z + (-10 + -1z) + -1(z + -3) = 14 + -1z Reorder the terms: 3z + -10 + -1z + -1(-3 + z) = 14 + -1z 3z + -10 + -1z + (-3 * -1 + z * -1) = 14 + -1z 3z + -10 + -1z + (3 + -1z) = 14 + -1z Reorder the terms: -10 + 3 + 3z + -1z + -1z = 14 + -1z Combine like terms: -10 + 3 = -7 -7 + 3z + -1z + -1z = 14 + -1z Combine like terms: 3z + -1z = 2z -7 + 2z + -1z = 14 + -1z Combine like terms: 2z + -1z = 1z -7 + 1z = 14 + -1z Solving -7 + 1z = 14 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -7 + 1z + z = 14 + -1z + z Combine like terms: 1z + z = 2z -7 + 2z = 14 + -1z + z Combine like terms: -1z + z = 0 -7 + 2z = 14 + 0 -7 + 2z = 14 Add '7' to each side of the equation. -7 + 7 + 2z = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 2z = 14 + 7 2z = 14 + 7 Combine like terms: 14 + 7 = 21 2z = 21 Divide each side by '2'. z = 10.5 Simplifying z = 10.5
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