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Simplifying 5(4z + -1) + -2(z + 1) = (z + 1) Reorder the terms: 5(-1 + 4z) + -2(z + 1) = (z + 1) (-1 * 5 + 4z * 5) + -2(z + 1) = (z + 1) (-5 + 20z) + -2(z + 1) = (z + 1) Reorder the terms: -5 + 20z + -2(1 + z) = (z + 1) -5 + 20z + (1 * -2 + z * -2) = (z + 1) -5 + 20z + (-2 + -2z) = (z + 1) Reorder the terms: -5 + -2 + 20z + -2z = (z + 1) Combine like terms: -5 + -2 = -7 -7 + 20z + -2z = (z + 1) Combine like terms: 20z + -2z = 18z -7 + 18z = (z + 1) Reorder the terms: -7 + 18z = (1 + z) Remove parenthesis around (1 + z) -7 + 18z = 1 + z Solving -7 + 18z = 1 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -7 + 18z + -1z = 1 + z + -1z Combine like terms: 18z + -1z = 17z -7 + 17z = 1 + z + -1z Combine like terms: z + -1z = 0 -7 + 17z = 1 + 0 -7 + 17z = 1 Add '7' to each side of the equation. -7 + 7 + 17z = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 17z = 1 + 7 17z = 1 + 7 Combine like terms: 1 + 7 = 8 17z = 8 Divide each side by '17'. z = 0.4705882353 Simplifying z = 0.4705882353
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