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Simplifying 10 + -1(z + 2) + -4z + -3 = z + -19 Reorder the terms: 10 + -1(2 + z) + -4z + -3 = z + -19 10 + (2 * -1 + z * -1) + -4z + -3 = z + -19 10 + (-2 + -1z) + -4z + -3 = z + -19 Reorder the terms: 10 + -2 + -3 + -1z + -4z = z + -19 Combine like terms: 10 + -2 = 8 8 + -3 + -1z + -4z = z + -19 Combine like terms: 8 + -3 = 5 5 + -1z + -4z = z + -19 Combine like terms: -1z + -4z = -5z 5 + -5z = z + -19 Reorder the terms: 5 + -5z = -19 + z Solving 5 + -5z = -19 + 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. 5 + -5z + -1z = -19 + z + -1z Combine like terms: -5z + -1z = -6z 5 + -6z = -19 + z + -1z Combine like terms: z + -1z = 0 5 + -6z = -19 + 0 5 + -6z = -19 Add '-5' to each side of the equation. 5 + -5 + -6z = -19 + -5 Combine like terms: 5 + -5 = 0 0 + -6z = -19 + -5 -6z = -19 + -5 Combine like terms: -19 + -5 = -24 -6z = -24 Divide each side by '-6'. z = 4 Simplifying z = 4
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