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Simplifying 4(z + 7) + -1(2z + -1) = z Reorder the terms: 4(7 + z) + -1(2z + -1) = z (7 * 4 + z * 4) + -1(2z + -1) = z (28 + 4z) + -1(2z + -1) = z Reorder the terms: 28 + 4z + -1(-1 + 2z) = z 28 + 4z + (-1 * -1 + 2z * -1) = z 28 + 4z + (1 + -2z) = z Reorder the terms: 28 + 1 + 4z + -2z = z Combine like terms: 28 + 1 = 29 29 + 4z + -2z = z Combine like terms: 4z + -2z = 2z 29 + 2z = z Solving 29 + 2z = 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. 29 + 2z + -1z = z + -1z Combine like terms: 2z + -1z = 1z 29 + 1z = z + -1z Combine like terms: z + -1z = 0 29 + 1z = 0 Add '-29' to each side of the equation. 29 + -29 + 1z = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 1z = 0 + -29 1z = 0 + -29 Combine like terms: 0 + -29 = -29 1z = -29 Divide each side by '1'. z = -29 Simplifying z = -29
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