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Simplifying -1(z + 8) + (3z + 1) = -3(z + 1) Reorder the terms: -1(8 + z) + (3z + 1) = -3(z + 1) (8 * -1 + z * -1) + (3z + 1) = -3(z + 1) (-8 + -1z) + (3z + 1) = -3(z + 1) Reorder the terms: -8 + -1z + (1 + 3z) = -3(z + 1) Remove parenthesis around (1 + 3z) -8 + -1z + 1 + 3z = -3(z + 1) Reorder the terms: -8 + 1 + -1z + 3z = -3(z + 1) Combine like terms: -8 + 1 = -7 -7 + -1z + 3z = -3(z + 1) Combine like terms: -1z + 3z = 2z -7 + 2z = -3(z + 1) Reorder the terms: -7 + 2z = -3(1 + z) -7 + 2z = (1 * -3 + z * -3) -7 + 2z = (-3 + -3z) Solving -7 + 2z = -3 + -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. -7 + 2z + 3z = -3 + -3z + 3z Combine like terms: 2z + 3z = 5z -7 + 5z = -3 + -3z + 3z Combine like terms: -3z + 3z = 0 -7 + 5z = -3 + 0 -7 + 5z = -3 Add '7' to each side of the equation. -7 + 7 + 5z = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 5z = -3 + 7 5z = -3 + 7 Combine like terms: -3 + 7 = 4 5z = 4 Divide each side by '5'. z = 0.8 Simplifying z = 0.8
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