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Simplifying -2(z + 4) + (4z + 1) = -2(z + 1) Reorder the terms: -2(4 + z) + (4z + 1) = -2(z + 1) (4 * -2 + z * -2) + (4z + 1) = -2(z + 1) (-8 + -2z) + (4z + 1) = -2(z + 1) Reorder the terms: -8 + -2z + (1 + 4z) = -2(z + 1) Remove parenthesis around (1 + 4z) -8 + -2z + 1 + 4z = -2(z + 1) Reorder the terms: -8 + 1 + -2z + 4z = -2(z + 1) Combine like terms: -8 + 1 = -7 -7 + -2z + 4z = -2(z + 1) Combine like terms: -2z + 4z = 2z -7 + 2z = -2(z + 1) Reorder the terms: -7 + 2z = -2(1 + z) -7 + 2z = (1 * -2 + z * -2) -7 + 2z = (-2 + -2z) Solving -7 + 2z = -2 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -7 + 2z + 2z = -2 + -2z + 2z Combine like terms: 2z + 2z = 4z -7 + 4z = -2 + -2z + 2z Combine like terms: -2z + 2z = 0 -7 + 4z = -2 + 0 -7 + 4z = -2 Add '7' to each side of the equation. -7 + 7 + 4z = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 4z = -2 + 7 4z = -2 + 7 Combine like terms: -2 + 7 = 5 4z = 5 Divide each side by '4'. z = 1.25 Simplifying z = 1.25
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